No one denies, as your source says, that "neither the health of women nor men is simply a product of biology but is also influenced by sociocultural and psychological experience". That's science.
But trying to dictate that people only use a word in a new way and never use its traditional definition is not science, it's (Orwellian) politics.
And pretending that biology doesn't matter is denying the very science you quoted.
Finally, the major questions about trans rights aren't about science at all, they are about values and why institutions exist.
Do we separate boys and girls in sports because of gender roles (sociocultural), or to give girls an opportunity to play sports without competing against people made stronger by high testosterone (biology)?
Do we separate men's and women's prisons because of gender roles (sociocultural), or to prevent sex and pregnancy (biology)?
Etc.