You are going to get a ton of replies saying that many male parents don’t “help out” the female parent, they just...parent.
Also that it’s literally impossible to say what “men” do because there are millions of them and some are utterly rubbish parents and partners, some are amazing and some are inbetween. Rather like women.
For the record and on an anecdotal basis, my DH works PT, does 6 of the school pick ups/drop offs (I do the other 4), does the weekly shop, all the hoovering, always cleans the bathroom, pays bills and other life admin like that, does everything to do with the car and garden, cooks more often on weekdays, and does the same or tbh possibly more interacting with the DC than me (helping with homework, taking them out on trips, playing with them etc etc).
I work PT but more hours and much longer commute, I do all the clothes washing, dusting, change the beds, cook probably 3 evenings a week, do everything to do with the DC school admin, buy their clothes, plan their parties, play dates etc, pay bills and other life admin....I obviously also interact with the DC in the same ways as above!