I think it kind of does. FP is a moving target---more of a cultural identity than a technical definition. As it becomes more mathematically focused it will become less applicable to (some) Lisps. If this progression continues and dependently typed languages become increasingly practical we may someday call them FP-without-quotes and even displace things like Haskell and OCaml.
Hardly. I even begin my commentary noting that "FP is a moving target" and a social phenomenon more than a technical one. I personally avoid the term as possible in much the same way I avoid the term "data scientist". If you want me to do Data Science I'll get excited and ask you for statistical project details.