I think that when people apologize, it shouldn't mean that they are sorry or not. It should just be an act of courtesy. You do something wrong, you apologize. It doesn't mean that you commit to not doing it again, or that you really feel bad, it's just a matter of consideration for the victim. When I get an apology, I don't expect it to be too true-hearted, because it's not supposed to be.
Apologies are just two simple words that sometimes magically soothes hurt over.
I think the rudest people in this world are the ones who do not apologize. Alot of times people want elaboration or fucking quiz you to death if you're really sorry. Those people just need to be told to shut the hell up after the peak of annoyance. Shake hands kids . Be the bigger man.