I agree with you on the "human" category. I think that's the only thing that matters. However, what puzzles me is that while you write that all the different groups from Asia are different, but then you refer to "white" people. Wouldn't you be able to make the same argument that all "white" people are different too?
By the way, for Kazakhstan it depends on whether a person from there would fit under the "Asian" category as it is understood in the US. Most people in the US think that Kazakhs all look like Borat, which is not true. Kazakhstan is a multi-ethnic nation, and the majority ethnic Kazakhs actually look East Asian. They look like this:
https://studyinrussia.ru/en/actual/articles/how-kazakh-students-can-apply-to-russian-universities/
However, a large percentage of the inhabitants of Kazakhstan are not ethnic Kazakhs. You have hundreds of thousands of ethnic Russian Kazakhs, ethnic German Kazakhs (at one point under the USSR there were over a million of them there), ethnic Polish Kazakhs. Those would check the "Caucasian" category. Then you of course have a small percentage of actual Caucasian people from across the Caspian Sea (Armenians, Azeris, Georgians, other smaller nations). The word "Caucasian" should technically only refer to people from the Caucasus region.
The of course in Kazakhstan you have other groups that you traditionally think of as "East Asian". You have over a hundred thousand Korean-Kazakhs, as well as a sizeable Dungan population, which are actually ethnic Chinese Muslims who emigrated to the Russian Empire in the 19th century. Plus all kinds of other groups.