Although I write mostly in Rust, when I have to do some web server side work, I use Go. Go was designed at Google for their server-side applications, and it's well-suited to that. All the expected libraries have seen very heavy use and are unlikely to have unexpected problems. Goroutines handle the job of both async and threads, simplifying concurrency. Rust is overkill for such work.
Rust is for complicated problems where both performance and safety matter. Web browsers. Databases. Operating systems. Industrial control. I'm writing a client for a virtual world in Rust. It's much easier to do complex concurrency in Rust than in C++.
On topic, i’d like to try out rust, but can’t find good cause in my daily webdev needs.