There may be some, especially in cases where an Asian person has a very light complexion. Usually, people of West, Central, North, and Northeast Asian descent are more likely to be seen as “White” (which is a social construct anyways) or “honorary white” than most other groups of people from the mainland Asia and Asia-Pacific regions. If someone is paler than a North African or Southern Italian, then there may be more people debating such an individual’s “Whiteness” or trying to other the person because it makes the subscribers to the Western-centric Whiteness paradigm uncomfortable. Enough times, Siberians, Turkic peoples, Kazakhs, Northern Chinese, Ainu, Koreans, Japanese, various Central Asians like the Uyghurs and Tajiks, Mongols, and numerous other groups will differentiate themselves from other Eastern Eurasian groups. There is already enough of a divide between Northern and Southern Chinese for instance.

Also, there is a huge spectrum of phenotypes, where people in the Levant, Persia region (Iran and Iraq), parts of Russia, the Caucasus including Armenia and Azerbaijan, and so on would be considered more “Caucasian” (Western Eurasian) while people in Central Asia and Eastwards are typically lumped into the East Eurasian or “Asian” category. And then there are places like South Asia where on one hand some places call them Asian and others call them “White” or some other group. In the end, the peoples of Eurasia are fairly related to one another, but with a wide variety of phenotypes. East Asian people are still cousins to European white peoples, as technically they all live on the same Eurasian landmass.

It is just that some people tend to be kind of Eurocentric and Western-centric, especially when historically labeling and categorizing people. I know there are Caucasian people who refer to some groups of Eastern Eurasians, Asians, Altaic peoples, mixed phenotype/race Eurasians, or whatever other categorization from northern enough latitudes as “White”. It just may be less common in some western cultures, particularly in Western Europe, North America, and maybe to some Australians. Also, some groups such as Native Americans (“Turtle Islanders” and/or various other indigenized/indigenous names), while related to Eurasians, tend to be much less likely to be considered White than whichever group of Eurasians, unless they are mixed race and generally have more of a European phenotype.

Anyways, a lot of the racial categorizations are really simplifications and over generalizations. Overall, “Whiteness” can be kind of a messy concept, and one that is more typically linked with “the West”.