I guess it comes to the definition of "reside". Do Russian tourists and their US-born babies reside in the US?
If "reside" means a legal residency status, then you have your answer.
When you visit a country for a medical treatment, do you reside in that country?
When you crossed a border illegally, you work without a permit, and you physically live in the country without a residency status, do you "reside" in that country or you are simply an outlaw who remains at large?
The amendment doesn't say anything about "legal residency status" so... no?
BTW immigrants are not all either illegals or citizens. There is a substantial part of the population that are perfectly legal, not citizens, and would get fucked tremendously bigly if this gets to pass.
Hopefully this is just a dog whistle (sorry dogtana) for immigration hardliners and it's unlikely to survive any serious legal challenge. Trump will probably forget about it after the election.