Yup, the name change is tied to gender: you can’t have a traditional Czech female name as an official male and vice versa, and there are no gender-neutral ones (our language is very gendered and nobody has developed a neutral framework that more than a handful of people would use). Transgender people would try to register diminutives Péťa (Petr/Petra) or Míša (Micha(e)l/Michaela) but end up needing an extra psychologist’s note for them. Only foreign gender-neutral diminutives such as Alex (Alexander/Alexandra) that had a history of being registered by either gender would be easy to obtain.

It’s still fucked up that the year is meant to “test-drive” the gender but one still has to use their AGAB-gendered name in all but informal communications. And wigs are forbidden on ID card photos, of course.