8. Charrier asserts from personal observation that the Sonnenklappe occupied by Morand was clearly visible to the naked eye from the Apolda plateau.

9. Charrier indicates that Sahuc and Dupont both wanted to march to the sound of the guns at Auerstadt but were prevented from doing so by Bernadotte.

10. Charrier says that Bernadotte failed to answer Davout’s calls for help. He identifies two such messages: The first delivered by Gen Romeuf around 10 am to Bernadotte near Camberg (citing Segur, Souvenirs d’un aide de camp de Napoleon at 306); the second by Trobriand, who encountered Bernadotte about 4:07 at Apolda. Trobriand apparently wrote a letter to Davout's daughter decades later describing his interaction that day with Bernadotte. Charrier doesn’t believe that Trobriand’s letter was a hoax. He found a report of Trobriand’s mission not in Trobriand’s handwriting at SHAT.

You really should read the article of Titeux - or even better Charrier should have - because Titeux clearly demolish point 9 (there is nothing of this sort in Dupont's personal correspondance, diary and official correspondance.

As I stated before - neither Davout, nor Napoleon, nor Bernadotte did know that Davout would clash with the Prussian main army. So - Bernadotte did hear the cannonade - but he had his orders from Napoleon to march to Apolda. Due to the very strict obedience demanded by Napoleon, what could Bernadotte do otherwise, assuming, as Napoleon did (even when he received the report from Davout - accusing him of having seen double numbers) that the main army was in front of Napoleon. Bernadotte did not have radar - drones - satellites or other kind of reconaissance, which would be of no use - there till noon there was a dense fog - he couldn't see anything.

In case of Trobriand - I concure with Titeux - in case it wasn't a hoax, look at the time when Trobriand should have arrived at Bernadotte - and what Bernadotte could have achieved from that time.
At 16:00 - the game was over, Bernadotte would have needed beaming or other future methods to get his units to the desired place.

Bernadotte - confirmed by Dupont's accounts had to get double and tripple horse teams to get onto the plateau crossing the Saale valley.

And again, what could Bernadotte do? He had his strict orders - he - as well as Napoleon, assumed to that time - that the Prussian main army was in front of Napoleon.

Please read Titeux on that.