Crowsfeet appear to be appropriate for the Constitution. John Harland's "Ships and Seamanship, The Maritime Prints of JJ Baugean" shows them on several warships from the early 19th century, including an American frigate on page 39. Based on the limited number of warship prints shown with them, they may not have been common, but they are clearly shown.
Baugean was a contemporary artist to the Napoleanic and 1812 wars, producing accurate representations of naval warships into the 1820s from direct observation.
John Harland and Heinz Marquardt are recognised experts on 18th and 19th century rigging.
I probably would not place crowsfeet on my Constitution model but I would not consider them incorrect.
"I was a little puzzled by the fitting of Crowsfeet and Euphroe blocks, but when I checked Marquardt's Anatomy of the Constitution book they are shown in his drawings, but my understanding is that these fittings belonged more to the seventeenth and early eighteenth centuries, particularly where round tops were involved."