For example.
Progressives are widely known for their enthusiastic use of forcing people into public apologies for perceived crimes against the faith or for not acquiescing to unreasonable demands which can then be framed as a perceived wrong. I think a lot of the kickback against apologising that we're seeing is coming from the numerous public examples of this tactic and the follow-up where any good-faith apology will be used to make a further example of the heretic.
If you are dealing with this kind of thing then the tactic of take-cover and let the storm pass seems sane (pearls before swine etc). But if you're actually dealing with a genuine person or group who you've genuinely wronged then a real apology is warranted.
One other thing I'd add; if you have wronged someone and you've apologised and made genuine efforts to make amends. While it is on the other person to decide whether or not they will accept/forgive, it is not a requirement to indefinitely debase/lower yourself in the pursuit of obtaining their forgiveness. You can make efforts up to a point but you are not required to destroy yourself until they grant it. If the situation is unsalvageable then that's what it is.
For studys sake on how this can get out of control, there are numerous examples of shitty parents holding a past wrong over a childs head indefinitely in the raised-by-narcissists subreddit which illustrate the tactic in use by malicious types there.