I think there's a distinction between Rust and Go in that sense, Go has a clear objective, be a good (if not the best) language for writing web services (that's why Google developed it in the first place), that's why their stdlib is so rich to write this kind of applications, while Rust was developed to be the system language for the next 50 years, that's why the difference in stdlib.
The only downside of Rust is that you have to pull more than 100 dependencies to build a simple hello world server (Tokio + Axum | Actix), then you need a database driver, most likely something that depends on SQLx (not sure here how many, dependencies), but one of my projects got near 500 transitive dependencies with only 20~ish direct dependencies.