I'm guessing that when it comes down to it - he probably won;t be thinking about poker or if he does it will be just so he can go and brag/show off rather than actually wanting to leave. Also as much as it is an awesome amazing experince we have to keep in mind that for some guys pregnancy and childbirth is a foregin concept and it takes them longer than us to get their heads around the miraculousness of birth and babies. We've got all those gushy hormones going on which make us latch on to that little person and never want to let them go plus you might have breastfeeding to concentrate on if you're choosing that and a lot of guys don't get that at first. Just something to keep in mind if he does seem a little bored or eager to go after a while. For some men especiually it is very hard for them to be useless or powerless which a lot of men can feel after birth and in the first few months when it's all feeding and sleeping - does that make sense?

Having said that
#1 we had it written into our birth plan that nothing happen for at least an hour after birth, that time went so quickly! 5 hrs later after visitors and a shower I sent DH home reluctantly.

#2 he left maybe 2 hrs after to go and get DS and get something to eat. He then took everyone home for dinner but stayed over the next night.