You are correct re Gley. It's the part above what you quoted from Gley that speaks to D's state of mind.

I'm sorry but I do not see what bearing "Davout's state of mind" has on anything Bernadotte may have done or not done?

The other questions I raised in my reply do not appear to have been addressed yet - whence Segur obtained his very dramatic account of a Davout's pleading with Bernadotte, Gley's (frankly unbelievable) allegation that Bernadotte's reports to headquarters claimed most of the credit for the victory, Davout's "plusiers" requests for help from Bernadotte all of which apparently disappeared into the void, Petre's uncritical acceptance of Savary ... ?