Wanted to bring up uniforms related suspicions I have. I chose 1812 time frame, but it could equally be applied to the entire 1775-1865 time gap, I think. Essentially, it appears that we have been misled and uniform affiliations were intentionally mixed up.
These suspicions are partly based on...
TARTARY
"Tartary, a vast country in the northern parts of Asia, bounded by Siberia on the north and west: this is called Great Tartary. The Tartars who lie south of Muscovy and Siberia, are those of Astracan, Circassia, and Dagistan, situated north-west of the Caspian-sea; the Calmuc Tartars...