I don't think there will be a Rust implementation of sqlite3 in the near future, it would be a monumental task. Having the C bindings just work with static compilation in Rust was a deal-maker for that particular personal project, even if it's just because some crate maintainer went to the extra effort to make a robust cross-platform build script and nothing to do with the language itself, it shows that they put in some effort and pride, but I also get tired of the hype and the Rewrite in Rust catchphrase.
I'm a university student, as part of my student job I had to develop a backend application. Someone has to be able to pick it up after me, hence simplicity and easy of use. In the end, I chose Node.js after strongly considering Go, Rust and Elixir that have more cohesive tooling (formatter, linter, better module system!), it was the easiest to justify. I couldn't trust myself to not find any issues/complications with Rust or Go and I just can't afford them running into these issues and explaining to them "oh, you need to set up a C compiler toolchain on Windows".