I think you may be misunderstanding what's happening. The goal is not to change the meaning of words, it is to explore greater nuance in order to expand the ideas that people are able to consider.

In the case of woman, the recognition is that "woman" as commonly used conflates two separate ideas: The gender that someone was assigned at birth (which in the vast majority of cases means someone's biology) and the social constructs that define "woman" (e.g. dress, role in society, acceptable behavior, etc.).

Separating conflated ideas allows people to think in more detail since they can consider them separately.