I don't think a strong enough argument can be made. I'm sure you CAN write web services in Rust, and that in very specific cases it'll have some benefits over Node, but honestly very few people work in an area like that.
Disclaimer: I've settled on using Go to rewrite an existing application. The original app was written in PHP; nothing wrong with PHP per se, but the existing codebase is a mess and the PHP version is hard to keep up to date because of LTS versions of operating systems + very slow and careful updates at our customers (it's network infrastructure). For me, switching to a compiled language that produces a self-contained executable was a compelling argument. I have to admit that I do kinda pine for something like Java again though.