Doesn't the "POC" term promote the idea that "people of color" have some sort of shared interests? Yet, is that always true?
Person A is an upper-middle class Indian. They study software engineering at university in India. They immigrate to the United States and get a job working as a software engineer in Silicon Valley.
Person B is a working class African-American. Nobody in their family has ever been to university. They work in a service job and live in the suburbs of Atlanta.
What do A and B actually have in common? It seems to me, probably not very much. Their life experiences are very different. A lives a much more privileged life than B. Probably, A actually has more in common with, and more commonality of interests, with their Caucasian American colleagues than with B. Given that, doesn't labelling them both as "POC" obscure more than it reveals?
It also completely ignores the problem that India has with anti-African racism and violence, see e.g – https://foreignpolicy.com/2017/07/24/the-harsh-reality-of-be... – something of which person A may of course be personally entirely innocent, but then again maybe not. If anything, I think the term "POC" is deeply Western-centric (and even US-centric), and presumes that racism and racial conflict is always whites-against-everyone else, when in the wider world it often isn't. (Africans in India, Uighurs and Tibetans in China–and, I think the case of China shows, trying to blame European colonialism for non-Western racism doesn't always work. Or, again, consider how Japan treated Koreans.)
I think the term BIPOC is potentially problematic in that it presents African-American and Native American interests as being more aligned than maybe they actually are. What is the foundational story of US history? The New York Times' 1619 Project presents it as being the Atlantic slave trade. Why that, and not the dispossession of Native Americans? Many African-Americans (and even many Caucasian Americans) seem to want to privilege the African-American narrative over the Native American narrative. Are Native Americans okay with that? I'm sure at least some are not. But lumping them together as "BIPOC" serves to obscure, even erase, these tensions.
(Throwaway because, I hope people can appreciate my comments are an attempt to approach these issues thoughtfully, but in today's climate one has to be very careful what one says.)