You're preaching to the wrong person if you're talking about putting family 1st in front of work. I've left multiple higher paying jobs to spend more time with my family and ask the questions about work flexibility BEFORE taking any job I've had since kids. I took longer them the 2 weeks off for my 1st and my friends all said "why?", I realised later what they ment. They want mum and just sleep, the holiday is better to take later, eg when the kids knows where he is...
Everyone does parenting differently but your role as a father in those 1st 2 weeks is to help the mum, not cuddle the kid for 23 hours a day. Um not saying to jump out of the birthing suite while she's in labour. If the kid was born a week ago what do you think he was doing while the game was on exactly? I can 1000000000% guarantee the baby was sleeping, eating or shitting and had NO IDEA he was there. Thats whay they do the 1st 3 months. You cuddle them and teach them and are there for them, you arent breast feeding and you share sleeping responsibilities. They LITERALLY sleep for about 16 hours a day haha. Anyone who has had a kid and is a present father during that period would know that. If he starts missing birthdays, and doesn't spend time with the kid that's what the kids remembers, or do you remember your own birth?