Ada has memory management safety, even though it is not the same paradigm as Rust. Affine typed pointers might be a tad more powerful than Ada's scoped pointers and limited types, but they're still not powerful enough to express everything useful - cyclic structures in general are a very big hole in Rust's type system in that regard.

And then in both language, you can use unsafe when you need more power. So Rust might (and I say might, because I have no clear proof of that yet) be a tad more powerful in the safe subset, but it's not in a different class.