Not likely. The only thing that really matters to me is developer ergonomics. I've never seen a project struggle because it couldn't render a table with a 1,000 rows fast enough. I have seen many projects struggle because they hired a bunch of junior engineers who had difficulty writing clean, maintainable JavaScript.

Rust and WASM will definitely take on for doing things like WebGL. I can't imagine Rust becoming the de-facto solution for building UIs.