is it polite to offer a draw when the other player blunders his Queen?

If it is clearly a mouseslip, accept the draw if you were not in a winning position. If not, don't.
If you were* not in a winning position before the queen mouseslip

@SpeckledGrill
You need someone to hate, what a pity.
Just hate people who cheat at online chess using engines.
So, you need to imagine and accuse without proof, because you're so much better at spotting cheaters than Chess.com.
I already invited you to take a look at my games, but it would ruin your imaginary accusations and deprive you of your target.
It's still a need to hate someone, whatever the disguise it takes.
we have a grill being roasted itself

i have a 0.4 game because i mouse slipped my queen, i have a 5.2 game because i blundered my queen
One move does not make the whole thing 0.4.

No! There is no mercy in chess, sorry to dissapoint, anyone can blame a bad move on anything "mouseslip", "my wife was talking in the background", "blabla", you take the piece and continue to crush the opponent, he can forfeit if he wants, he should definately not attempt to ask for a draw, that's shameful.

Depends who was winning
If he was up like a piece or more, I would sometimes
If he isn’t winning, no

No! There is no mercy in chess, sorry to dissapoint, anyone can blame a bad move on anything "mouseslip", "my wife was talking in the background", "blabla", you take the piece and continue to crush the opponent, he can forfeit if he wants, he should definately not attempt to ask for a draw, that's shameful.
I agree totally.

No! There is no mercy in chess, sorry to dissapoint, anyone can blame a bad move on anything "mouseslip", "my wife was talking in the background", "blabla", you take the piece and continue to crush the opponent, he can forfeit if he wants, he should definately not attempt to ask for a draw, that's shameful.
But... What if YOUR wife was talking in the background of your opponent?
.......

No! There is no mercy in chess, sorry to dissapoint, anyone can blame a bad move on anything "mouseslip", "my wife was talking in the background", "blabla", you take the piece and continue to crush the opponent, he can forfeit if he wants, he should definately not attempt to ask for a draw, that's shameful.
But... What if YOUR wife was talking in the background of your opponent?
yea.... WAIT A SEC WHAT ARE YOU SUGGESTING HMMMMM

No! There is no mercy in chess, sorry to dissapoint, anyone can blame a bad move on anything "mouseslip", "my wife was talking in the background", "blabla", you take the piece and continue to crush the opponent, he can forfeit if he wants, he should definately not attempt to ask for a draw, that's shameful.
But... What if YOUR wife was talking in the background of your opponent?
Then I say thank you for taking her and no takesies backsies
@SpeckledGrill
You need someone to hate, what a pity.
Just hate people who cheat at online chess using engines.