What are cis and trans alternate types of? I don’t think it’s “gender identity” because wouldn’t that just be man, woman or nonbinary regardless of whether they’re cis or trans? Cis/trans just being a qualifier?
If the answer is “I am cis” or “I am trans”, what is the question?
Edit: Someone came up with the term “gender congruity” and (after looking up the definition of “congruity”) I think this describes what I’m talking about perfectly.
The question would, to be blunt, be “are you cis or trans?”, because “cis” and “trans” are just shorthand for “cisgender” and “transgender”.
It’s a question of very limited scope – even if you were to reword it – because in modern society, the exact detail of if someone is cis or trans isn’t really practically important. If someone is a man, say, society cares a lot more about them being a man rather than being a cisgender man or a transgender man. (I’d say the same about women, but there’s obviously a subset of society that is in the process of demonising trans women, so…)
I think the core issue you’ve found is that cis/trans-ness is something that only makes sense in the context of something else, the gender identity of the person in question.