I guess I'm confused about what you're after here. Are you suggesting that the primary caregiver should be able to lean more on an increased amount subsidized daycare in order to pursue a personal life by working instead of staying home with the kid full-time? You still have your kids after daycare is over, so it's not like you can get out of that part of caretaking to pursue "personal interests" fully.
What about parenting in such a way that you involve your kids in your personal interests? You can definitely dig into tough book or go mountain biking with your kids with enough patients and proper equipment.