So, consider school starts at 08:45 and finishes about 16:00. I can do drop off and be back at my remote desk way before 09:00. I can't do that if I'm being forced back to an office. Similarly pickup - I can pick them up and be back at my desk before anyone would ever notice, and they can then take care of themselves in the house while I'm there - they're broadly self-sufficient. 3 times out of 5, they'd be in some sort of after-school club or activity anyway, so pickup is closer to 17:00. But again, I can't do that if I have to leave an office and commute an hour to get to the school.
So yes, it sadly disproportionately affects women more than men, as currently, the societal "norm" is that women are usually the primary care-givers and men are usually the higher earners, therefore the ones least likely to give up a job when pushed into this scenario. The wage gap for *the same roles* is currently around 10%, and has been for a while. There are a number of reasons for this, one of the biggest being maternity vs paternity disparity, pushing women out of work for 6-12 months when having a child. Biomechanics also mean this is a more likely outcome.
Flexible working, remote working etc has been one of the biggest levers to level the playing field across the gender divide. While this situation exists, policies such as this one will disproportionately affect women.