> However, does this claim not fly in the face of "identifying as" a particular gender, race, tribe, etc?

Yes, but it also implies people identifying as cis might be wrong about it, so it's a pretty equal if unpopular standpoint. Nevertheless.

There are a lot of real life self identification situations that aren't accepted by society - mostly ethnic groups. Rachel Dolezal, Elizabeth Warren[0], Europeans who get mad when Americans claim to be sixth-generation Irish, are different cases here.

[0] her situation is not that unique btw - it's actually very common for white people in Oklahoma to believe they're part Cherokee. Since they believe this because their parents told them so, I don't think they're doing anything wrong, but it's the kind of unpleasant surprise you get when your 23andme results come back.