I am not disagreeing that much, still the 16:00 report of the 14th is revealing as well, what did he know at that time, hardly anything, he knew Napoléon had waged a battle - and that also Davout must have had a clash.
There Davout did not show up at Apolda - as ordered - he must have had a serious confrontation, but most likley with a positive result there Bernadotte captured fugitives flooding back from the Auerstedt battle field.
He well grasped the situtation that his corps is ideally placed for a pursuit and that is precisly what 1er coprs did in the following days.
The Prince de Ponte-Corvo is often accused that he made false march - in case one is looking closer, in my view, it is perfect for the final destruction of the Prussian army.
Also in case this accusation is regarded as being valid - he did what Napoléon ordered.