Rust offers perfomance improvements in CPU and memory usage of the core application logic, and it's almost never the bottleneck for the typical web apps. Almost always, they're limited by IO, and I don't see any reasons why it would be better on Rust that on Node. Also, Rust offers security of safe access to memory, but that's a problem that exists in C and C++, not in GC-based languages. Finally, Rust offers a great type system, but Typescript has a very good one as well, and offers a much easier transition for Javascript Node developers, as well as a much more machure NPM ecosystem.
Overall, I just don't see how Rust would make much of an improvement over existing state of affairs.