You are wrong in saying that the Bulletins were not intended as history: that was exactly their purpose, to provide the official version for the French people.

From Swords Around a Throne by John Elting, 601:

'Napoleon further stimulated morale with his Orders of the Day and his Bulletins, both phrased in clear, ringing, soldierly style. The first, issued to his troops before a battle or at a decisive point in a campaign, were printed fight talks deliberately designed to arouse and inspire his men. The Bulletins were after-action reports, directed as much at civilians as at the Grande Armee. On the whole they were fairly accurate; the Twenty-Ninth Bulleting, issued on his return from Russia, made no bones about the Grande Armee's immense losses, though it did blame them all on the weather. But they usually exaggerated enemy losses and understated French casualties; also they sometimes failed to give credit to various officers and units who felt they should have received honorable mention. In time a soldier who trifled with the truth might be said to lie like a Bulletin. Napoleon, however, never intended them as history...'

Therefore, I am not wrong in what I said. And if it is a choice between what you believe and what Col Elting stated in writing, I'll take Col Elting's word every time unless it is proven to be incorrect. And you have not done that.

From Imperial Glory: The Bulletins of Napoleon's Grande Armee, 1805-1814, 1:

'All governments and all leaders use a variety of methods to ensure that the public is aware of their political or military successes. Those exploits that are successful seldom need great embellishment, though they often get it. Those that are less successful often are magically transformed into something more positive than reality would indicate. We call this effort to promote the activities of a government or of a leader 'propaganda'...

Have you checked von Brandt yet? If you haven't I would be glad to post it.