Perhaps it should be stipulated in the contract that if you miss a playoffs game due to the birth of the child, you won't get paid for that game.
He probably still would have missed the game. And the team would look like a jerk if they put that clause in there. Of course, I don’t remember Shawn Kemp missing a game when a kid was born and he had a bunch of them.
What did you think of Sandy Koufax missing a World Series game for Yom Kippur? Sometimes people answer to a higher power.