Go, Python, C# have native implementations as well, e.g. the de facto standard Postgres driver for Go (which is by the way super fast), https://github.com/JackC/pgx
Rust has been "web ready" for some time. C++ is "web ready", too.
But why should one choose Rust when there're plenty of alternatives with much larger and much more stable ecosystems. And those alternatives offer much higher productivity and a much larger talent pool.
Rust is not even the fastest web framework (https://www.techempower.com/benchmarks/) . And the benefit over Java, C# or Go is really negligible. Who needs more than 300000 req/s and can't afford servers to scale?
So, another nice try from the Rust evangelists, but no thanks.