So far, we have very few examples of them actually working. On the contrary, any amount of admission seems to show weakness. The "controversy" around Lin-Manuel Miranda seems to have come nearly entirely from his apology to a very small group of disappointed fans.
There are even more examples of very publicly terrible people who have skirted worse controversies simply by ignoring them! There is no reward for being self-aware or apologetic. But there are rewards for unyielding self-righteousness.