And then there’s the issue that holding that objective gender exists and is innate in the same way biological sex does is a philosophical / ideological position - other positions exist. My generation (late X) were taught to see people as unique individuals differentiated by sex only for the purposes of reproductive role - that people are born ‘gendered’ is a complete anathema - society should not be in the business of assigning acceptable appearances, behaviours and attitudes to individuals based on their sex, or worse, surgically modifying people such that their apparent sex matches their gender.
(Clarification - surgery is of-course fine as the cure for untreatable gender dysphoria, and in adults as a free choice. My objection is to the belief in appropriate gender norms and appearances as being the correct ordering of individuals in society - I’d rather see a girl with masculine interests remaining comfortable with her female body, rather than asked to question her ‘gender identity’).