OK. Usually I post about what is wrong about discourse that is common on both sides. But I feel this is more of a woman's issue.

Just my experience but I'm a pretty chill woman. Yet many other women I've been with including my mom and my sister seem to have this weird mentality that they have to do the dishes etc

You don't have to. You don't have to clean up after your man. If he calls you petty then he's not the man for you. Its really that simple. Don't enable him at all. Or work out a good compromise. I'll do laundry you so xyz

I just truly don't understand women claiming they were "forced to clean up after their man"

No one pointed a gun to your head. Do the dishes. Tell him, next time you do it. If he doesn't there is no next time. Those frustrations only happen becusse you keep letting it happen