One thing is for sure...if these guys don't invest time in relationships outside the home, their chance for being noticed goes down.
But here is the kicker for guys with a family you don't have the time to be hanging around airports and/or the pub to try and meet someone who might get you a 'chance' with a operator. If you are married with kids basically you have to be with your wife and kids if you're not at work. If you start spending all your spare time hanging around the pub or the hangar after work your family ain't going to last. Flying is a hard enough on family life already you can't realistically be spending extra time hanging around.