Google tried this. They set up this cadillac in-house childcare system, as you'd expect from Google, but it got out of hand as it scaled. When they switched to charging the parents more of the program cost, there was a huge backlash. Even with the higher price they couldn't meet demand, leading to waitlists and eventually a random lottery just to get a place. I bet Google management wish they'd never started the whole thing now.
If there's one thing you can count on 'disruptors' to not understand, it's grandfather clauses. You raise your rate for all new 'customers' and your overhead rate stops looking like a line going toward infinity.
Your reward for being at Google for 5 years should be that you get the rate plan from 2 years ago when your first kid was old enough for daycare.
My reward for being a Netflix customer for 6 years should have been that I still got the old rate.
The simple solution is no meetings after 15:00.