"Indian" is the commonly used term for the people from India as far as I know. You don't very often see that cohort referred to by some other term.

Interesting question. My impression from afar (I live in Japan) is that “Asian Indians” and “East Indians” are both used but that just “Indians” is increasingly common, partly because of the growth in the number of people in the U.S. from India and partly because of the growing tendency in recent decades to avoid using “Indian” to refer to native Americans. Wikipedia has a long article on the latter issue:

https://en.wikipedia.org/wiki/Native_American_name_controver...

It does not explain why the term "American Indian" (which it says the series will use) is preferable to "Native American" or "Indigenous American".

it does use a term ("first peoples") which avoids using American and is not used outside North America as far as I know.

> Actually, it's up to the individual what they prefer.

If referring to a group you cannot use a term that all individuals prefer as they will have different preferences. In general certain terms are not used - for example one for black people is never even written out in full by Americans. If one person said "I am fine with being called that" does not mean the rest of us should use it because most people find it offensive.

> I don't like being labeled an "American".

Being called an American Indian (which is necessary to avoid ambiguity) also means you are labeled an American.

"American" is also derived from the name of someone problematic (he even took part in a slaving raid) but that is another issues.