Aren't the versions of Rust in stable Linux distributions like, a century old? Or at least they were last I checked what Debian and Ubuntu LTS were distributing. I think it's because they don't like static linking.
I believe Rust is typically only used through `apt` as a dependency for system packages written in Rust, or for building system packages that are written in Rust, so that they can link against a single shared instance of the Rust Standard Library.
Debian had a new stable release 45 days ago. For now I would imagine things aren't too old there. Although a friend of mine recently ran into some ancient packages on Mint, so maybe Mint/Ubuntu are oddly behind Debian Stable right now for some things.