Am I being unreasonable?

First, I'm 37 weeks with our second baby.
My husband flies helicopters, and they told him at work that it would be ok if he stayed off the flight schedule till after the baby was born in case I go into labor while he's at work.  I thought it was really cool that they're being so flexible with him...but he's basically refused to stop flying.  Every time I say something about it he gets pissed and tells me that I'm being unreasonable.  He always says he's going to come to my appointments to watch our older daughter, but more often than not ends up having a flight.  I feel like I should just leave a note on the fridge that says "went to hospital, in labor, see you in a few days" instead of bothering to let him know.