Bernadotte's orders were not 'strict' and allowed latitude in what he did. If he was with Davout, he could march with him, and he was collocated with Davout at Naumburg.

It was Napoleon's habit to issue mission-type orders, telling his subordinates what he wanted done, not how to do it. Corps commanders were expected to use their brains and initiative to accomplish their missions.

What did Bernadotte accomplish on 13-14 October? Nothing constructive. Davout used his head and understood that the Prussians were coming his way. Bernadotte refused to help and marched on 'orders' that were out of date to Apolda. Perhaps he was betting on Davout losing?

And as for Dupont getting a corps command, he obviously was not ready for it witness his terrible performance in Spain that ended at Baylen.

Sincerely,
K