People are writing web backend in Haskell for decades, it is a viable choice for very specific niche of web development. Rust has miles to go before it can reach even that stage. At present elixir has much bigger eco-system than Rust.
I've worked at one very small company and one very large company, and at both Rust was a much more serious/common consideration for web services than Haskell.
Why Rust is considered over Haskell in one of the organizations I've been with is because it has the performance/memory usage characteristics of C/C++, which is a requirement for certain services. Though for many projects I'd imagine they'd meet similar levels of resistance.
Its even the main example on Crystal's homepage: https://crystal-lang.org