It should be remembered that the British still used flogging as a common punishment for certain offenses, something that was unknown in the French Army.
There is an interesting example of British military justice, though it is from 1775: When the British troops under Howe landed on the Charlestown Peninsula across from Boston before the battle of Bunker Hill, five British lower enlisted quit their ranks and attempted to desert to the American lines up the hill. They were caught and were brought to Howe, who singled out two of them and said, 'hang those two' which was promptly done. No trial, nothing but summary execution, which in this case was quite merciful, saving the other three. Quite different from today, wasn't it?
Similar to the case of Johann Palm, who was arrested, tried and convicted along with four others. Only Palm was executed...pour encourager les autres undoubtedly.