Yes.. I believe they will mate with up to 14/15 different drones, so in effect, there will be that many different fathers. I have bees in a single colony that go from the brilliant yellow of the local feral bees to all black stripes with no yellow, and everything in between. it can be seen just watching the landing board of your hive entrances.
I am of the opinion that this is a good thing. The genetic diversity is what will eventually allow us to make bees that can resist the problems that currently plague them.
I also have some hope that it is this diversity that will protect us from the AHB. The AHB will continue to move north, but to do so it has to adapt, breeding with local bees.. with luck, our local bees will DUMB down the aggressiveness, and eventually the genetics will reverse, and start moving south with calmer bees... No scientific data for this, just a personal hope that in 15 years I don't have to deal with aggressive AHB.