We just got back from WONDER's repositioning to New Orleans. We enjoyed the dessert beignets at Tiana's Place, but did not bother using the chocolate sauce they were served with. Not sure if they are served at the French Quarter Lounge. We spent a lot of time in that lounge, and never saw a menu there, or anyone else with anything other than the bar snacks offered - a small tray with three little bowls - pretzel thins, rice crackers, and fried fava beans. There WAS such a menu with the small plates available in the Crown and Fin. No beignets there, either.
That being said, they were NO match for the fresh ones at either Cafe DuMonde, or Cafe Beignet in New Orleans where they are light, pillowy, and sweet.
We hope Disney continues to use New Orleans for some sailings in the coming years.