Big moments vs the small...
My own toddler is 6 months old now.
His first smile, his first raspberry, his first flipping somebody (me) the bird... All choice moments that I haven't missed thanks to a very understanding employer. And each of those moments more precious to me than that initial birth thing. My role at the point of birth was that of a facilitator, making sure my wife got to the hospital more or less on time (a mission almost not accomplished, but that is a story for another time) and in one piece.
I.e. I do not care much what Musk did or did not do in this situation. My concern is what he did next. How do employers help parents bond with their kids during the early years?