As you can see for my arguments I came to a completely different conclusion, Bernadotte had his orders, following Davout, in case he would have been behind him, which he apparently wasn't - but in case he would have been, he would have achieved nothing at all, till his units would be in case of deployment area, the battle was over, Prussian Army could retreat as planned, there no French were at Apolda, the whole double victory doesn't yield the same results as it did because of Bernadotte executing Boney's orders.

As it worked out, it was best for the operational art of Boney and further development.

All the best for the New Year and happy reading