Then there's the indignant whine of "But I said I was sorry!" This has never worked. Not once has another person said, "Oh, gosh, so you did, I'll just jam an icepick into my skull to shut down my own emotional center." You're trying to rob them of any emotional reaction, and then getting upset when they turn out not to be Vulcan.
Dammit, Jim, my son told you not to use the master bedroom. The sheets are covered in green body paint!
The proper format is admission, apology, accepting consequences. These premature apologizers are trying to avoid the last part, the emotional equivalent of a 5-year-old hiding in his room after breaking something. Apologizing is about the person you've wronged, not you. Shouting "sorry" first is like bathing an area in foam extinguisher before throwing a petrol bomb -- it might help a bit, but all you're really doing is warning people that something bad is about to happen and that it's your fault. You have to be involved in the process and be aware of how they feel. Just saying "sorry" is like saying "foreplay" while playing Xbox and expecting your partner to be stiff and/or wet when you decide to put down the controller.