That’s an example of a different scenario, where a single term changes in meaning. In the case for “man”, a separate term evolved. “Man” never stopped having the meaning of “humans as a whole”. Instead, it evolved a different meaning in certain contexts. “Man” also isn’t used as a slur, which makes using the word you chose as an example not equivalent.

There’s just no need to push “man” in these kinds of context into being gendered when it’s not. Choosing to use another term is great, but it’s not great to impose onto others.