> The root of this debate seems to be biological determinism. The "right" (loosely defined) side of this debate argues that once overt racism and sexism are removed most of the remaining differences in ability and outcome that manifest are biologically innate.

"Biological determinism" is a huge red herring here. There are lots of causally-relevant factors wrt. social outcomes that have nothing to do with either biology or perceived prejudice/discrimination (however defined). Biological differences might explain some of the different preferences across genders (the broad 'people vs. things' orientation that even seems to show up in experiments with infants), but they're realistically irrelevant to anything else that the "woke" actually care about.