The article is very confused. I would like to read the study it refers to.
Fury seems to suggest that people can present how they wish - well, yes, is that not what feminists argue?
The point about gender dysphoria being innate is that it really should be sex identity dysphoria because the dysphoria comes from the disjuncture between ones sexed body and wanting to be the opposite sex. Surely it is possible that this dysphoria has a genetic component - so do other neurological conditions.
So the problem comes from calling sex identity dysphoria gender dysphoria.
No-one is suggesting that there is a genetic marker of people who wear clothes normally associated with the other sex, that is personality and choice, and not gender dysphoria. Gender dysphoria is clinical distress at not being the opposite sex, and that may be partially genetically determined - I thought that was accepted.
Where the eugenics comes in - this is the same as any condition which has a genetic component, namely the fear that if the gene causing it can be identified, it can be screened for. The same arguments relate to a number of medical conditions, most notably chromosomal abnormalities. It comes down to what disabilities society tolerates and supports. It is eugenic in origin.
However, I am not sure how this enforces gender stereotypes - it only does so because the trans movement has mixed up gender and sex. The research is not saying gender dysphoria is the same as wanting to express and present how you wish, it is a recognised clinical condition.