There is more variability of height between men (roughly 1,50m to 2,20m = 70cm) than there is between the average of women and men (1,60m to 1,75m = 15cm).
Therefore men are not taller than women.
And the terms "man" and "women" are social constructs.
There is more variability in organs and hormones between man and women, and those are less of a social construct.
But we are getting to the core of the argument, namely - those grouping terms are social constructs (not a 'higher truth'), now how much deterministic value are we willing to attribute to one, and why (scientific approach of 'determinating factors' or something else).
We have already been through this. The reason Sub-Saharan Africans are less likely to get skin cancer is genetic. It is not based on a social construct but genes. Genes means where one originally comes from, one´s ancestry.
Australian Aborigines and certain Indian groups also have higher melanin levels, but they are not of the same race / origin. When people say "black" they usually mean "of Sub-Saharan African descent" and when they say "white" they usually mean "of European descent". I advocate for more scientific terms but daily-life terminology does not negate the scientific truth behind it.
Dont you see the mismatch here? One definition is a definition "to the best of our current scientific knowledge (falsification based logic), and one is a term jokel and the hans came up with to indicate that they are different from the tribe next door (additive logic), the definition of a 'race' is just more random, less though out, less 'challenged', more doctrinistic, ... They wouldnt be the same grouping category.
(Talking about skincolor as a factor of genes, and skincolor as a factor of race. Why one would have more 'deterministic' qualities. And the other wouldnt.)
So I'm questioning if those are the same 'quality' of category. Similar thing in the comparison to man/women. One can have babies vs - ones skin is a bit darker, and the eyes are at a different orientation. That scientific - huh?
And before you move back to Mendel, societies will always be more willing to accept a difference between man an women (i.e. needed for the survival of the species) than a difference between races (i.e. send them where they belong "tendencies"). So while both are something you are arguably born with and thats so hard to change, one generally doesnt - looking at whats attributed to those groupings, one has by far more potential to be used as a negative prejudice. (Women (or men) are part of the ingroup 'our people', 'other race' maybe isnt so much.)
Remember, how I'm always arguing, that we cant make 'race' as a deterministic concept a 'more important construct in society' -- this very much has to do with peoples tendencies of behavior derived from group identities. If everyone would not care about race identities at all, but there would be a grouping definition called 'race' - we wouldnt have to have this discussion. But thats not the world we live in. So we construct a social taboo ("thats racist man, you cant act like that") for the purpose of race (as a grouping term) not becoming 'too important' societally. (As a rectification for believes.)
My race/ethnicity/origin is not a lottery by the way. I did not play the lottery of life, I am the product of my parents and their parents and so on. E.g. two people of European descent do not suddenly have an East-Asian baby. You still have not acknowledged this fact, by the way.
Again, you are countering with 'pathos' ("the importance of ancestry"). Thats hardly better than a story. (In quality of argument.) But lets let this slide for once.
The "birth lottery" argument wasnt meant to indicate that your parents 'race' had no impact on yours - it was meant to indicate - if you let race be a 'more important factor' in society (because lets say you 'demand it' (activism)). And this gets to the point where it becomes a deciding factor if a person would be able to get a job or not, then as a human being, all you have is praying to a higher being, that you were born in the right body.
Because you wont be changing race.
Therein lies huge conflict potential. Hence - not good for a working society.
How do you get rid of this problem? You make everyone in your society white (f.e.) - and hilarity ensues (not so much). Or you make everyone of a certain complexion believe, that they are less then human, and we've already been through that.