I am not rolling my eyes about a shift to a more non-binary society. I think absolute destigmatization and democratization of gender roles, stereotypes and culture at large would be a boon to a lot of different groups. Heck they/them pronouns being the norm until you know someone's preference actually benefits non-binary and non-gender conforming people and put to bed more toxic femininity and toxic masculinity. Allowing humans to just be whatever appeals to them personally would allow us to better appreciate the individual natures of people. It also will reduce the pressures that do exist for some people which will stop some people from feeling the need to aggressively align with the sexual binary for the sake of survival or who have to keep their identity quietly under wraps at present. It would be ultimately a good and healthier place to gravitate towards. Ultimately treating gender more flippantly does allow people to feel less like it's a chain around their neck and more of a toy that can be engaged with for the sheer fun of it. Because gender euphoria is just that - joy. Trans narratives often center around pain and dispair but it's one half of the equation. The other half is just experiencing at it's most extreme a very wild almost drug-like illogical emotional high. People like to play and a lot of people deny themselves play because of these cultural narratives of shame and tradition. It's in part why the gay community has ballroom culture and drag. A lot of that doesn't from a place of transness, they are just doing it because once you're considered a failure of the standard it's easier to transgress other rules. If they are gunna hate you anyway for the thing that you can't change why care what they think?

Just as political lesbianism was a thing in the 80's we are seeing I think a rise in political non-binary identities. If you think a more non-binary society is a good thing than I agree!

But conversely I think gender affirming care that deals with physical transition is probably going to remain a nessesity even in that kind of senario and we'll probably see more instances of gender "kit bashing" as the walls around sexual stigmas are further challenged.

The society you mention already is having it's trial run. Where I live there's a much wider swath of the community that participates in the genderqueer social conventions of society. It is of course seeing pushback from Conservative groups as they are trialing things like gender neutral bathrooms in K-12 schools but as far as the conversations around LGBTQIA+ issues we've always been about a decade ahead of the States.