This is a life skill. If kids can't figure out how to fool their parents and watch the game under their covers like I did, they don't deserve baseball. And it's way easier nowadays.
In all seriousness, it's pretty easy these days to get up and watch the last couple innings in the morning.
And with all of the other games, I find it hard to believe that missing all of part of the west coast games (or watching it the next day) is what will drive a kid away from baseball.
In reality, how often is the average east coast kid's team even playing on the west coast during the playoffs? 3 or 4 games in one offseason every 4 or 5 years?
It just doesn't seem like something significant enough to make such a substantial change for.