Is there any documentation suggesting that the Allies would have prosecuted or treated Hitler, had he not committed suicide in Berlin, differently than the other Nazis at the Nuremberg trials?

To add to the question: I know that Hermann Goering made the decision to surrender to the Allied forces rather than the Soviets. Presumably Hitler would have been captured by the Soviets. Was there a significant difference in treatment of upper Nazi officials depending on who had captured them? Were all of those tried at the Nuremberg trials captured by the Allies?