I do believe that you are missing the point.

You might want to take a look at Napoleonic Propaganda by Robert Holtman.

And from John Elting's Swords Around a Throne,601-602:

'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-Nonth Bulletin, 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. During 1814 brother Joseph mutton-headedly released some unfortunately accurate stories as to how Napoleon had been defeating armies that greatly outnumbered him. Napoleon was furious; he had been doing his best to convince the Allies that the Grande Armee was still several times its actual strength!'

So it appears that the Bulletins also had an intelligence/counterintelligence aspect to them-part of the obfuscation plan to confuse enemy intelligence operations. Were the British cartoons of that caliber?

You might also try Heinrich von Brandt's memoirs to see the part where he is shown by his company commander, Captain Sokolnicki, on how to write an after-action report. It is both funny and instructive. It is on page 71 if In the Legions of Napoleonm edited by Jonathan North.

For a comprehensive view of the Bulletins themselves see Imperial Glory by J David Markham.