Should you apologize when you’re RIGHT?

I feel that you should only ever apologize when you actually mean it, therefore it doesn’t matter who’s right or wrong it’s a matter of how you conducted yourself in the situation and if you truly feel you did anything to be sorry for. You shouldn’t feel the need to apologize just because you are right, it isn’t your fault the other person/people got it wrong
Also I feel there is many variations of right and wrong just because something is right in your mind doesn’t mean it is right in someone else’s mind so again it leads me back to my feelings of never apologize unless you feel you are sorry for your actions/reactions