Am I totally alone in offering a draw or the opportunity to correct the mistake if someone says a move was a mouse slip?
No one is getting paid to play here, this is supposed to be fun, are we that unsporting?
A mouse slip is usually a skill issue. Also when someone tries to win on time, they are more likely to play fast and make slips. So would they offer you a draw because they were going to win on time? Some do and I have but it isn't the rule.
Basically, if you are so sporting, then accept that mouse errors ar a part of the game when you play fast.

Well you heard it from the mouse lips
(Credits to the resident budgie)