No, from a technical standpoint it's 100% wrong.
The definition of meat is "The flesh of an animal as food". Therefore technically, fish is most definitely meat.
From a modern linguistic standpoint you could argue that meat is limited to the flesh of mammals, but that's an artificial limitation based on usage, not on actual technical facts. Same as poultry is often excluded from the term "meat", but it's still meat.
What I want to know is why eggs are always listed as dairy. I mean cows don't lay eggs.