Do the flags reverse the ship identification in the Seeadler painting?

Are Seeadler and the French barque identified the wrong way round in the painting, judging by their flags?

Yes. The flags correct the initial identification, which followed the depicted sail plans; the painting's rigging still conflicts with the descriptions and other images of Seeadler checked during the exchange.

The national flags reverse the initial identification of Seeadler and the French barque in the painting. That first identification had followed the sail plans, which appeared to put Seeadler on the other side. The descriptions and other images checked during the exchange give Seeadler a three-masted full rig. The painting's apparent mast count and sail arrangement conflict with that identification, prompting the suggestion that the artist took liberties with the rig. The flag correction is accepted, while the rigging discrepancy remains a reason to question the painting as a technical reference.