Maybe if Rudel’s masters had bothered to equip the Romanians with something that was more effective against T-34s than a handful of rocks, they might have stayed in their positions and fought.
As it was, many Romanian units did hold their ground until they were surrounded and overwhelmed.
You're absolutely right-many Rumanian divisions fought to the death considering that death was preferable to what would happen if they surrendered to the Russians. Hitler had plenty of warning about the Stalingrad offensive and what part of the front it would take place at. The Germans were quite adept at blaming others for their screw-ups.