Sure, but the Founders also insisted, first & foremost, they were United States who fought one war of independence and signed one peace treaty at Paris.
The point of listing all 13 individually was to insure that nobody later could come along & say -- "but we didn't really mean Rhode Island or North Carolina, those are still British!"
LOL! Yeah that's it. The Founders insisted that each have its sovereignty recognized individually by name just so people wouldn't say they were still British. Not because the Founders wanted the sovereignty of each recognized by name or anything....