Well first, Elixir isn't purely functional. It's got side effects all over the place, it just doesn't have mutable variables.

Second... While I love static typing as much as the next guy, there's definitely value in immutable data in a dynamic language. You also get Dialyzer in Elixir/Erlang, which is an interesting alternative to the usual type systems you find in Haskell/Rust/etc. in that it focusses on finding places where there's provably a problem, rather than where it's not provably correct.