Have never tasted Nutrea, however, when I lived in Louisiana I hunted them from an airboat with a 22 semi auto. We did not shoot just for sport. They are used for their fur and the meat is processed into alligator feed for those who hatch alligator eggs and raise baby alligators for the purpose of re-populating the alligator population in marshes due to the alligator skin business. Otherwise the Nutrea is really a bother and causes a great deal of damage to the bayous, canals and the marshland. They are quite prolific and are will easily take over and overpopulate a marshland. They need to be harvested and the alligator skin business is a well thought out and great way to do so. It is amazing that outside of the south most people have never heard of the Nutrea. They look a little like a small beaver, but with a muskrat type tail. They are about the size of a ground hog. Evidently, they were transported to the U.S. from South America by accident. Hope this helps answer some questions.
Have a great day!