let me start with saying
as for either sex or gender being a societal construct,
This is a use mention error best case the very best, Sex or gender however you wish aren't fundamentally different.
however both Gender/Sex however we deem to make the distinction are biologically based and certainly programmed into our species, HUMANS ARE SEXUALLY DIMORPHIC. \
gender // sex as it is perceived plays a huge role in things like sexual attraction.
Asides how exactly you wish to apply this distinction as consistent with how each of use the word Etymology seams important and their is nothing in the definition as far as I can tell that presumes that it is somehow socially constructed the word is even used quite similarly in the context of grammar where by to be very clear grammar isn't a social construct, Grammar is a property of language, which isn't socially constructed it is transmitted culturally and their is a psychological, historic, biological especially neurological, even anatomic basis for language.
Besides in my quite frankly etymological evidence ought to be a large degree be important in how we define such words, for 3 reasons:
1, Definitions are accepted as citing Etymology as part of their definition.
2, Words to give example those borrowed from latin or greek or other languages take their meaning etymologically, even though we may assign them new meanings.
3, Quite frankly using etymology helps us ground definitions and, gives a verifiable account of how we came to use a particular structure in such a peculiar way.
https://www.youtube.com/watch?v=3ssigT1dOWUOne notice how apparent isolation for such a long time with clear,
even if it had common origin it'd be from a very long time ago as for areal distribution it's not perfect, and also I would like to maybe quite pedantically point out a bit of cultural relativism how cultural influences get incorporated borrowed depends on the culture so yeah. different rates of change and it differs even if it means it slows down and speeds up depending on various factors.
To clarify I’m not saying social constructs are imagined,
in anyway but I don't think ones using the term correctly,
if one doesn't consider the above as maybe evidence that it's
in no way a socially constructed even by any other name but rather
maybe it's a Product of biology, and not sociology.