Your logic is valid, works, and would be understood by the reader or listener.

You're not really inventing a new word. Your simply using a noun to talk about a type, and the article is not needed when you talk about a type of something or something in the abstract, in contrast to a specific instance of something.

English just happens to have a few words that tend to be used to express the ready-to-eat meat versus the animal they come from, such as beef, pork, mutton, veal. So those words are used when you are talking about eating them.

Other animals don't have a special word and simply use the same name as the animal, such as lamb or fish.

And there is definitely not one for mouse, so the way you are approaching this is the way you are supposed to.

Your logic is valid, works, and would be understood by the reader or listener.

You're not really inventing a new word. You're simply using a noun to talk about a type, and the article is not needed when you talk about a type of something or something in the abstract, in contrast to a specific instance of something.

English just happens to have a few words that tend to be used to express the ready-to-eat meat versus the animal they come from, such as beef, pork, mutton, veal. So those words are used when you are talking about eating them.

Other animals don't have a special word and simply use the same name as the animal, such as lamb or fish.

And there is definitely not one for mouse, so the way you are approaching this is the way you are supposed to.