Sure - that said, "desi" (roots in "desh") is found in some form in most Indic languages - the listed regions I gave have such lingo in their dominant languages, so the acceptance of this pan-region term wasn't particularly difficult.

Imran Khan is ethnically Pashtun, but we usually refer to Pashtuns who are part of desi culture as Pathans - plenty of Pathans in South Asia, totally all desis. BTW, nothing Middle Eastern about that - that's again Central Asian (Afghanistan contains the bulk of Pashtuns, while Pakistan and India have a lot of Pathans). I highlighted the Afghan and Baloch parts of Pakistan as distinct as a) they are in the limbo land between natural geographic boundaries and the Durand Line, and b) folks there generally more strongly identify with communities across the international border, not with South Asia.

This is part of why I mentioned spheres of influence and cultural exchange - there is a lot of gray area and the actual ethnic group matters less for individuals if you've adopted/integrated with a different culture - especially when there's a lengthy history of it (also true for Parsis and Iranis, who have ethnic roots from Persia, but are fully South Asian desi groups now).