I found I get more power from fully owning up for my part in personal conflicts.
Mitigating damage I did clears my conscience. I generally don't expect the same from the other party because I have no control over what they do. Perhaps they'll consider my example and that may potentially lead to better feelings of their own but not everyone is in a place to do that. I haven't always been.
Because these are almost always people I have good (or no) history with, I typically develop some genuine regret for being part of their negative experience. It's easy to express regret in an apology.
Mitigating damage I did clears my conscience. I generally don't expect the same from the other party because I have no control over what they do. Perhaps they'll consider my example and that may potentially lead to better feelings of their own but not everyone is in a place to do that. I haven't always been.
Because these are almost always people I have good (or no) history with, I typically develop some genuine regret for being part of their negative experience. It's easy to express regret in an apology.