Apologies are meaningless without understanding

I'd rather not be apologized at all if it is without meaning. Granted, I think that I am a very forgiving person(well at least more so than most, not that its saying much) but I think that there are times where people are not simply learning from their mistakes. Granted, we can all have time to cool down but the damage has been done no matter if we waited five seconds or five hours or whatever, but still without any understanding of what happened, a hollow, empty apology, just out of obligation is just rather meaningless to me. Still some people would disagree and I do accept that as a fact, even if there is a danger of the problems blowing up about ten times as worse later if the proper understanding is not put through an apology. Thanks for responding, its appreciated. Have a nice day.