Even though white cannot castle, the queens are gone, and thus black has no true way of punishing white's un-castled king.
Is QGA a good opening for black?

QGA is sound. It's less popular than other responses, though, because it tends to give White less complications to deal with, making it easier for both players to simplify toward an endgame.
So it's a good drawing choice. But there are other d4 defenses that do a better job of muddying the waters and making things a bit more complex.

@justin13579881 this is a long, long line which may occur when black plays the line you showed and tries to save their pawn. I'm not sure if all these are the best moves, but I did what I thought would seem like intuitive moves.

Its an ok defense, you can survive the entire game up a pawn which is useful in endgame, yes guys Queens Gambit is a true gambit theres always ways to hold onto the pawn its just not the best move
Queen's Gambit Accepted is sound. It is what Kasparov and Radjabov turned to after they abandoned the King's Indian Defence.

Its an ok defense, you can survive the entire game up a pawn which is useful in endgame, yes guys Queens Gambit is a true gambit theres always ways to hold onto the pawn its just not the best move
Roughly translates to "don't keep the pawn and develop your pieces instead"
Yeah, trying to keep the pawn will lead to trouble.

Queen's Gambit Accepted is sound. It is what Kasparov and Radjabov turned to after they abandoned the King's Indian Defence.
as if we all play like Kasparov and Radjabov
...I don't think that was the point.

Queen's Gambit Accepted is sound. It is what Kasparov and Radjabov turned to after they abandoned the King's Indian Defence.
as if we all play like Kasparov and Radjabov
...I don't think that was the point.
...wonder what is was then
I think they were saying that if good players were using it, then there must be some reason.

Whether or not the QGA is drawish or sharp depends on black's choices. The classical lines featuring an early ....e6 and a defensive hunkering down keep black's drawing chances in hand but limit his winning chances. There are other lines with more play and more risk for black (for example, see Kasparov-Petrosian, Tilburg 1981). Or white can venture an early Qb3, when black needs to sac a pawn and initiate an attack. I agree that 3.e4 is white's best chance for an advantage as black must play actively but finds it difficult to achieve equality and can fall into deep trouble.
You have to know the theory to play the sharp lines as black can easily make fatal mistakes. Also, it is difficult to play the QGA because white will very often play 2.Bf4 and you're stuck in the London system.

No it is NOT sound
That is one big fat lie! The QGA is fully sound! Obviously you need to know the theory, and obviously you don't know it if your claim is that it is unsound!

No it is NOT sound
That is one big fat lie! The QGA is fully sound! Obviously you need to know the theory, and obviously you don't know it if your claim is that it is unsound!
Whoa man. Calm down. I am right BTW
No, you are WRONG! There is nothing unsound about the QGA. Just because you do not know how to defend it does not make it unsound!
A lowly 1000-rated dingbat has no business judging the soundness of openings anyway!
SMH!

No it is NOT sound
That is one big fat lie! The QGA is fully sound! Obviously you need to know the theory, and obviously you don't know it if your claim is that it is unsound!
Whoa man. Calm down. I am right BTW
No, you are WRONG! There is nothing unsound about the QGA. Just because you do not know how to defend it does not make it unsound!
A lowly 1000-rated dingbat has no business judging the soundness of openings anyway!
SMH!
It is sound when played right, but it is not sound when played wrong. Don't start an argument guys.
Queen's Gambit Acccepted is fully sound. Kasparov and Radjabov turned to it after they abandoned the King's Indian Defence.

No it is NOT sound
That is one big fat lie! The QGA is fully sound! Obviously you need to know the theory, and obviously you don't know it if your claim is that it is unsound!
Whoa man. Calm down. I am right BTW
No, you are WRONG! There is nothing unsound about the QGA. Just because you do not know how to defend it does not make it unsound!
A lowly 1000-rated dingbat has no business judging the soundness of openings anyway!
SMH!
CALM.DOWN. Calling people dingbats probably isn't allowed BTW. And I am about 1200 or 1300. And white is better in QGA. Deal with it
Your profile says you are 1004, not 1200 or 1300. But either way, I have you by miles!
I am roughly 2000 over the board, 2260 Correspondence (ICCF) and 1900 online. You would be mince meat against me, even if I was Black in a QGA against you every game!
Stop making a complete fool out of yourself! Sometimes keeping your mouth shut, or otherwise asking questions rather than spewing out lies, is the way to go when you are the clearly inferior player!
I hate and do not understand the Grunfeld at all, and I'd still kick your arse in a Grunfeld thematic!
SMH!

No it is NOT sound
That is one big fat lie! The QGA is fully sound! Obviously you need to know the theory, and obviously you don't know it if your claim is that it is unsound!
Whoa man. Calm down. I am right BTW
No, you are WRONG! There is nothing unsound about the QGA. Just because you do not know how to defend it does not make it unsound!
A lowly 1000-rated dingbat has no business judging the soundness of openings anyway!
SMH!
It is sound when played right, but it is not sound when played wrong. Don't start an argument guys.
That's a bunch of useless information. Soundness does not change based on your level of knowledge. On that basis, all openings would be sound if you know it and unsound if you don't! We all know, whether you know the theory or not, that the Queen's Gambit is sound and the Latvian Gambit is not.
The QGA is sound no matter what. What you do with it depends on your level of knowledge of that particular opening.
And I am not starting an argument. I am simply laying out the hard facts and putting an inferior person in his place!
What he is trying to do would be the equivalent to me trying to coach the New York Giants and claim that the Cover 2 Defense is better than the prevent defense when up 38-3 with 5 minutes to go. I have no idea when the best time to use the Cover 2 Defense is.

No it is NOT sound
That is one big fat lie! The QGA is fully sound! Obviously you need to know the theory, and obviously you don't know it if your claim is that it is unsound!
Whoa man. Calm down. I am right BTW
No, you are WRONG! There is nothing unsound about the QGA. Just because you do not know how to defend it does not make it unsound!
A lowly 1000-rated dingbat has no business judging the soundness of openings anyway!
SMH!
CALM.DOWN. Calling people dingbats probably isn't allowed BTW. And I am about 1200 or 1300. And white is better in QGA. Deal with it
Your profile says you are 1004, not 1200 or 1300. But either way, I have you by miles!
I am roughly 2000 over the board, 2260 Correspondence (ICCF) and 1900 online. You would be mince meat against me, even if I was Black in a QGA against you every game!
Stop making a complete fool out of yourself! Sometimes keeping your mouth shut, or otherwise asking questions rather than spewing out lies, is the way to go when you are the clearly inferior player!
I hate and do not understand the Grunfeld at all, and I'd still kick your arse in a Grunfeld thematic!
SMH!
Man, getting angry won't help anyone. U r loosing your cool like a 2 year old 🤭
You clearly are clueless!
I am not angry at all! I am laughing my arse off AT YOU, NOT WITH YOU!
Everything you have said thus far is stupid and it is hilarious that you are too dumb to know when to stop digging your grave even deeper, spewing out more and more BS!
What you are doing would be the equivalent to me trying to give a lecture on Indian culture to a bunch of people from India! I would sound like the biggest moron on the planet if I did that, but yet this is what you sound like spewing out all those lies when you are clueless what you are talking about.
Take this advice seriously. When you are clearly inferior by over 800 rating points, ask, don't tell. You will sound a lot less stupid doing so. There are 3 types of people out there:
1) Those with less knowledge that ask questions.
2) Those with more knowledge that give answers.
3) Morons that think they know everything and spew answers out their butt when they have no clue what they are talking about!
I sometimes fall in number 2 (threads on the French Defense or basic, high level questions on openings) and sometimes I fall in number 1 (a thread on Benoni theory), but I do not allow myself to be in group 3, and that is what you have done here!
The QGA is a SOUND DEFENSE!
As far as I know, on a master level, QGA leads to a fairly quiet game, I've seen multiple draws resulting from it, and according to stockfish, 3. e3 is white's best response to QGA. Also @justin13579881 I see nothing wrong with that line for white, after 6. f4 it's black who's gambiting away the pawn.