Looks like White can play d4 either 2nd, 3rd, 4th, 5th, 6th move, so I would not expect always the same result . And you seem to have transposed into the Modern/Hippo type setup so not to confusing.
the Anti opening system (black)
personally i don't like these crouching openings. i can't time my counterplay right and i am crushed because of the lack of space. even if we both don't know theory i feel like i have a vastly more difficult position to play. in avoiding theory, you should also consider if by just playing normal sensible moves your opponent can get by and you end up having to play flawlessly just to keep your head above water, then it's not worth going for that position.
personally i don't like these crouching openings. i can't time my counterplay right and i am crushed because of the lack of space. even if we both don't know theory i feel like i have a vastly more difficult position to play. in avoiding theory, you should also consider if by just playing normal sensible moves your opponent can get by and you end up having to play flawlessly just to keep your head above water, then it's not worth going for that position.
this is some sort of modern chess openings, ideas are not easy to see when you don't know the theory.

I am always "impressed" how "amateurs" can discover "new stuff", thinking nobody thought about it before...
This is a mix between Nimzowitch defence and Pirc, already played by Carlsen for example...
Probably the best option for black when white doesn't want to play 2.d4 against 1...Nc6.
Black aims for e5 at some point, with Bg4 or not.

@pouchin, well the chess engines always classify it to something alike, but the idea of 3 pawns (a6 d6 g6)+ one of the horses (c6/f6) (depending on counterplay) I don't know if that's got a name.
If you have the tools to find back such black game positions?, well i'm curious do you have links to such games ?. I'd love to read or see more about it. Or maybe as a IM have you tried it?
I wasn't feeling happy when playing black
As I noticed that people can be focused on very specific openings.
They know often the best solution in their favorite white openings.
As black I dont like to fall in a system of white.
So I thought let's do it a bit differently, so far it's working well.
Any kind of random order plays the first 3 pawns to their position G6 D6 A6 however for the second move play your knight depending on the opposite side of your opponent's first move.
Usually, with this, I castle short side or don't castle at all.
I assume that the opening with 3 pawns like this confuses white, there's a strange strong visual black pattern after just 4 black moves, not seen in any opening (as far as I know).
After this slight confusion just buildup as black play your opponent, start playing chess mid-game (be it that it is very early but there is no more theory after those 4
I've played various openings though I like the idea of getting off-road.
And I wonder what others think of it.