Out of curiosity, are there many Googlers out there the have to miss their kids' birthday?
Because from all the stories and anecdotes from Google employees, there's not much pressure at Google for overtime, quite the contrary, employees who want to work like crazy to "change the world" can do it, but most employees choose to go to Google so they can rest and vest, which is what Google is famous for and makes it a very desirable place to work.
There was even a Googler's guide on Reddit a few years ago how to pretend to work from home while you play videogames all day and cash in 400k/year, with all the details on the theatrics needed to pass your peer performance review for years while working less than 20h/month, since nobody really checks in detail what your working on and why how long it should take, so you have a lot of avenues to pretend to look busy while relaxing.
Doesn't sounds like the place where you'd need to miss your kid's birthday to me, unless maybe you hate your family.