On the subject of eating nutria, I'll defer to an expert. Years ago, never mind how many, my father and brother used to run traplines to make extra money. Nutria, muskrat, beaver, raccoon etc. would be collected, brought home and relieved of their fur coats.
This process left them with many small, fleshy bodies. my dad would boil one and feed it to the dog. Duke was appreciative and ate every bit of the muskrats and beaver and raccoon served to him. He refused to eat the nutria. Wouldn't even lick it, just smelled it once and turned away.
If a dog won't eat them, don't expect me to.