As surprising as it might sound -- not really. There's a small-but-non-trivial amount of overhead involved in calls between WASM code and the DOM API's, plus (de)serialization.
It's more of a familiarity/existing tooling thing. Same as Blazor in C# writing web apps in that. If your entire team only knows C# and you have all your existing tooling there then it could seem an appealing option.
But there's also the argument for more stringent safety with Rust compared to IE, Typescript.