Adolf directly created every one of those kessels, his insistence to stand and fight, against all advice.
6th Army was doomed the moment it was trapped - it didn't have the mobility to break free - the Panzer divs could have but the other 80% of the force was in the bag.
The only thing that could have saved them was Paulus reacting to the initial reports and not committing (at least some of ) his Panzer divs to the attack and thus having the mobile reserve that could have cut one of the pincers at the root or at least held the Jaws open.
The reality is regardless of Hitlers hold at all costs - that's all 6th Army could do
Manstein made the obligatory attempt at relief and when that failed supported and encouraged 6th Army resistance as it enabled him to rebuild his front line - without Stalingrad holding them up - the Red Army would have stomped a lot further west before organised resistance would be encountered.
Manstein post war seems to have joined the it was all Adolfs fault we lost movement-