What an odd thing to teach a child. If you've wronged someone, avoiding the behavior in future is something that'll help you, but does sweet fuck all for the person you just wronged. They still deserve an apology.
But yes, even if you try to make a healthy balance, there are still plenty of times when an apology are appropriate and will go a long way, for the giver and receiver, in my opinion anyway.
I did not mean to come off as teaching my kid to never apologize.
It’s 5-why’s style root cause analysis, which will build a person that causes less harm to others.
I am willing to believe that the same parent also teaches when and why it is sometimes right to apologize.
But of course, apologizing when you have definitely wronged a person is important, too. I didn't mean to come off as teaching my kid to never apologize, just think before you act. But you get the idea.