In terms of rigging, it's beyond me to comment. Only that frigates of that era (latter half of the eighteenth century) in France/ Spain and England seem to be rigged with three sails on the masts, a spanker sail and stay sails, much like our Constitution.
But a big difference seems to be that before 1744 most French frigates in the 8 pounder class had the gun deck below the weather deck, whereas after the mid-century they were designed with a weather/ gun deck.
The Lindberg model is in the first category.