I was going to say that IME many of the 'nice' men take the piss and hardly even realise because deep down it's their... What's the word. Right? Role?
And also that a lot of the crappy stereotypes that could be raised on this thread seem to actually often benefit them.
EG the idea that the man is useless round the house. He's a bit dim. He's put custard on the dog. Etc. The woman rolls her eyes at his hopelessness and swoops in and cleans it all up in a trice.
I've heard men griping about that stereotype but I've seen them play up to it at work to get out of helping with something. Oh don't ask me. I don't know about that. I'll fuck it up.
So the men get a stereotype to whine about, and they also get out of the cleaning.
The reverse I suppose would be a woman feigning an inability to change a tyre or similar. Problem with this is lots of men can't either 
and also it's hardly a regular task.
Just trying to think of an opposite I know it will come up!
What I do know is that very large numbers of men 'work late' and talk to their mates or read the paper to avoid kid bed/ bath, most that I know seem with covid to have essentially expected their oh to do it with them chipping in etc etc.
So when there are double standards, I'm just not sure that they are equivalent.
Meanwhile we get loads of really tricky double standard stuff often around our clothes and sex lives with sometimes really serious social consequences.