Regarding pressing the button: my comments are based on my contact with other trans people.
Technology and culture have nothing to do with objective normativity. Normativity concerns what should be, in terms of being or action, and is necessarily a function of meaning, purpose and design. These factors don't change with technology and culture.
I think the "objective-subjective" terminology is on point. Many people today have effectively denied the existence of objective standards, which is irrational and self-destructive, because these are perceived to be inseparable from guilt. They think to say that being cisgender or heterosexual is normative is to say that people who are trans or gay should be ashamed or bear some responsibility for being the way they are. It is necessary to separate these things from one another, in order to defend the idea of objective reality and truth while simultaneously preserving the dignity of people who suffer abnormative conditions. The distinction I made does this, simply and directly. I disagree with the suggestion that it is an over-simplification.