Testudo

I think the Soviets launched enough offensives and counter offensives in 1941 to make this question not worth arguing about. See for example, the history of the 6th MechCorps ,the most powerful in the Red Army (and more powerful than any German Panzergruppe) with over 1100 tanks including some 400 T34s and KVs, decimated in a couple of days by a single German infantry division, and 3 Stugs. A better what-if would be, whether the results of such attack be better or worse than Barbarossa historically was.

Sharing german combat experience, explaining operational and tactical doctrine, explaining the work of the German general staff, the preparation of Barbarossa and German conduct of operations etc. All the countries were doing this. Other German generals were writing essays for the US and British army. BTW Paulus was still officialy a POW at the time.

Paulus did give some lectures in the Frunze academy but only after the war. The Soviet commanders were too busy destroying the German army to go listen to his lectures during the war.