It can be difficult to separate the benefits of rewriting in Rust with the benefits of rewriting in general. But you can get the most benefit by structuring your code in a way that forces its correctness to be validated at compile-time, where possible. You can limit a lot of bugs and programmer mistakes this way, as well as better reason about the code.
But ultimately you can use any language you want and you don’t need to do anything just because other people are doing it. Do what makes sense for your project.