Though I'm no longer working, being able to shift to remote a few years ago let me move home and care for my parents + kids at the same time. It wasn't about working less, it's about being available in case of emergency and not having to do a commute. My hours worked didn't change at all - if anything, they increased, because I didn't have to rush home from the office as a precaution.
I like to think that remote work is particularly valuable for men because it makes it possible for them to rise above systemic factors and be present and engaged in caregiving in a way which was previously artificially denied them. I like to think the biggest benefit for women isn't that they're able to work remotely to more effectively be caregivers, but that their spouses are able to work remotely so they aren't obliged to be caregivers. I wish that were how it was presented.