I'm not going to lie.... if it were me and DH missed the birth I'd be p!ssed! Actually, more upset, but it would definitely turn into full blown anger at some stage haha.
Having said that, a lot of people thought it was strange my DH worked the first week after I had DD too. But to me it made more sense for him to use his annual leave when we were out of hospital and could be a lot of help/enjoy the time more. He still visited every night, was just gone during work hours. But he coped a lot of crap from family for it.