When someone apologises, do you think more or less of them? This is only for genuine apologies, not lip service ones. Some people think it shows weakness. I lose respect fast for people who can’t admit when they’re wrong, whether that’s to me or others. If there’s a power imbalance, whether that’s work, parent and child or a teacher and pupil, the power imbalance will still be there if an apology is given. Respect dwindles otherwise as how can a person respect someone who stands by poor behaviour or who believes they are infallible? There will be exceptions where it might be unsafe to e.g. prisons.
YABU - apologies and/or admitting mistakes or wrongdoing is weak
YANBU - inability to apologise and/or admit mistakes or wrongdoing is weak