I ask because the show makes it extremely clear on multiple occasions that while Curzon and Jadzia Dax share memories and a lot of personality traits, they are ultimately distinct people. This distinction becomes even more clear when Ezri Dax is introduced.
This is explicitly mentioned in the episode you are referencing. Jadzia Dax is not bound by the Klingon blood oath Curzon took. While Kor sees her and Curzon as identical, the other two Klingons don’t and are reluctant to let her come. One also makes frequent comments that Jadzia is incapable on account of her being a woman.
As a sidenote, Klingon society is extremely regressive. Part of this is the presence of strong gender roles. I highly doubt they’d be accepting of trans individuals.
Discovery has a non-binary Trill/Symbiote pair. They are non binary because the host identifies as such. They also consider themselves a different person than previous pairs, some of whom are non binary and some of who are cisgendered.