My father has lots of Aspie traits, but might be subclinical. He would never ever apologize, even if he knows he has done wrong.
As for me, I tend to apologize way too much. Since I'm not good at picking up cues, I can never tell when a person has not been offended or when he/she has been offended, but it trying to hide it. I can recognize when people get angry with me, but I have no way to know whether they are VERY angry or just mildly annoyed with me (unless their body language is very expressive). And I care a lot about not hurting their feelings. So I'd rather apologize, even if it is not needed, than be oblivious, not apologize and leave the person upset with me... I must say that this is annoying to people too, so I try to tone it down and stop after being told that it's okay.
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Probably 75% Aspie, 25% NT... and 100% ADHD
Aspie-quiz results:
Aspie score: 138 of 200 / NT score: 78 of 200 => Very likely an Aspie.