On this and the Germany would be nuked… yes, but only if they manage to hold Stalingrad.
Realistically, had they captured the city, it would just provide for an even bigger encirclement once they’re fully settled in. Much as the Russians burnt down Moscow to deny Napoleon the city, so too will the Soviets burn Stalingrad to the ground to choke the Nazis in the ash and embers of the city.
If anything it’s quite possible that if enough time passes that a command/supply center is established in the city, the Nazi Army is pretty much destroyed as a fighting force after such a decapitation.
Due to such gross overextension, every Nazi “victory” in the Soviet Union would just make the inevitable turning of the tide, that much worse, for they’re just sowing more wind.