American English perhaps, “on accident” sounds absolutely absurd to most Brits.
Are you someone who thinks it doesn’t matter if someone mixes up they’re / their / there etc? These things do matter because if you don’t use them correctly people are more likely to misunderstand you.
All of my English teachers were “old” women by the way, nice attempt there to shoehorn in some baddies. Nothing worse than old men, am I right?