If it was a ground war IN China or the US, no. I could maybe imagine some proxy war blowing up with another venue being the battleground. Like, IDK imagine if the left has more victories in Latin America and China starts pumping money into the continent and so the US responds by coming up with some excuse to invade this new Socialist Bloc to the south of them, and China sends troops in for support. The fact neither country is on each others turf may prevent a nuclear options but after a few years of fighting guerillas in the Andes armed with QBZ-191 another draft may seem necessary.
If it was a ground war IN China or the US, no. I could maybe imagine some proxy war blowing up with another venue being the battleground. Like, IDK imagine if the left has more victories in Latin America and China starts pumping money into the continent and so the US responds by coming up with some excuse to invade this new Socialist Bloc to the south of them, and China sends troops in for support. The fact neither country is on each others turf may prevent a nuclear options but after a few years of fighting guerillas in the Andes armed with QBZ-191 another draft may seem necessary.