I cannot follow your logic - in what way would you define the wrong decision Bernadotte committed?

In hindsight - what both Davout and Bernadotte should have done - right decission - is to form a defensive stance at Naumburg.

The real unforseen action was Davout's fight - on his own against the Prussian main army.

Bernadotte - again confirmed by Belliard, tried his best to arrive at Apolda as soon as possible - even only with one division of infantry and some regiments of cavalry.

That was the utmost he could do.

His appearance had some effect of Prussian troops as well to please Sould whose flank was covered - as he admits.

I really cannot see a different way how Bernadotte could have handled the situation differently - according to the knowledge he had at the time, neither Napoléon, neither Davout.

For that reason - I cannot comprehend all the accusations heaped on Berndotte, starting from being a traior or failing in fullfilling his orders.
The real question is - why is he still seen as this.
The answer as indicated in Roubert Ouvrad's essay, a bouc - émissaire was needed.