http://en.wikipedia.org/wiki/Gustav_Anton_von_Wietersheim
Could any of these men have influenced Paulus? Wietersheim sounds like a tragic figure who had a long record of opposing Hitler and was cashiered for being right. Who is to say Paulus couldn't grow a pair or eat a sniper's bullet at the right time?
Wietersheim and Seydlitz did council Paulus that breakout was the only option and that he should bite the bullet and disobey orders... Manstein categorically ordered him to break out, putting the entire burden on his own shoulders, signing the order directly... Paulus instead relied on the council of his chief of staff Schmidt who was a hardcore Hitler buttboy nazi, and favored sitting put (as did a few of the division commanders)
Again Manstein being new to the theater, and being unsure of how far he could push Hitler (this being his first experience as army group commander) was critical, Manstein sent signals and physical orders (his intel officer Major Eisman was flown into the pocket) for Paulus to commence "Thunderclap" which would see him mass the remaining strength of the 6th army on the southwestern portion of the pocket and breakthrough towards Army Group Don. Paulus refused sitting on his higher orders from Hitler and dooming the army.
Wholer and Speidel both record that Manstein seriously considered relieving Paulus and appointing Seydlitz to command the army pending OKH approval... however he had been counciled on his way to take command of Army Group Don by Hans Von Kluge, that he couldn't move so much as a battalion without Hitler's permission, so he was very wary of the decision because he didn't know if OKH would accept it, or if he would have to threaten his resignation to get it done, or if Hitler would just fire him for overreaching
Paulus and Manstein prior to this engagement where long time fellow travelers in the general staff and had a relationship going back to at least 1934. Paulus misread Manstein's appointment as did Schmidtt, he took it as a sign that Hitler was wholey committed to reliving the pocket and that he should stand put and tie down as many Russian forces as possible... instead of realizing his friend had come to save him, but the only way out was if both armies attacked towards each other with all of their strength.
Now Manstein didn't fly into the pocket himself (it was freaking dangerous, and Eisman's aircraft was damaged by flak) but if he did, he could have made a serious personal plea to Paulus, or hell had him arrested on the spot and put Seydlitz in charge whilst clamping down on communications
Paulus growing a pair that late into the battle is ASB, but him being knocked off would be beneficial to the German cause