I prefer explanations to apologies. Explanations help establish what actually happened when someone got hurt, which is usually an accident of sorts, a clash of contingencies. Apologies, to me, generally suggest some kind of mistake on the part of the one apologizing, as if something that should and could have been done was not done due to some character flaw or out of malice. As such, it only serves to assign blame to one of the parties involved when it is really coincidence or innocent ignorance that is responsible. If it was no coincidence, on the other hand, then I doubt the feeling of remorse I associate with apologies would be present, in which case an apology would be no more than a lie.