the gender binary does dominate everyday life
Yes it infiltrates everyday life and makes life hard for women and also many men, in various ways. It is shit. It's something we should fight against. And importantly, it's something people have been fighting against, resisting, challenging and subverting, for centuries.
If you want to do that, you can be a plain old woman or man who says no, I don't have to be restricted by gender expectations, and as a woman or man I will do/wear/be what I like. Like MILLIONS of people do, including me. In fact probably only a small minority of people adhere 100% to narrow gender norms (and most of them are trans people trying to "live as" the opposite sex).
If you say "I want to resist gender norms, and being a woman obviously means I have to adopt the pink frilly perfumed norms, and being a man means the opposite, so I must be neither a woman or a man" that's not challenging gender binary at all - it's saying "the gender binary is so true and inherent that the only way to resist it is not to be the sex I am". It's astonishing that a generation is capable of such illogical thinking in the face of all the gender non-conforming that has gone before.
While gender norms still exist, it is not as simple as everyone except Gray Crosbie (and others who declare themselves NB) loves pink or blue, only goes to their "own gender" hairdresser out of 2 strictly defined and separated types of hairdresser, and can't fathom deviating from those norms. It is actually really bloody rude and patronising to suggest that. For example I have been to many hairdressers and I've never even seen one that's all pink and perfumed. The default decor for a hairdresser's is black or white. However, gender expectations do persist in a million more subtle and important ways that have flown right over this person's head - like making women feel so shit about their bodies and roles that they feel the need to opt out of womanhood.
When you encounter an individual who thinks this way, and thinks they're important and special for basically holding up stereotyped gender norms as inevitable and cast in stone, you have to consider they think that because they've been encouraged to and pandered to including by the various authorities and platforms who take this stuff seriously. And because no one has ever helped them think through the reality of gender and sex, how they relate and how they work - and it's mad that this isn't basic education for everyone.
Gray comes across as a woman to me, but I agree the deeper voice gives a more male impression which might suggest some medication. There are various videos and blogs from detransitioners who massively regret what that kind of thing has done to them. Many of them say if they'd understood feminism and that you can be GNC and a woman, they wouldn't have gone there.
Ironically people like this are massive victims of gender expectations while thinking they're brilliantly beyond them.