A fleet swap between early America and Venice

Which two small navies would have been better off switching fleets?

The early United States and Venice, with American heavy frigates serving Venice and Venetian ships of the line strengthening the United States.

Venice could afford and crew large American frigates more readily in peacetime than its ships of the line. The early United States would gain concentrated firepower from a small number of Venetian line-of-battle ships. The material exchange matches each navy's resources to the other's hulls. Political reality still works against it: Congress might not fund the large ships, while Venetian status concerns favored retaining ships of the line.