Maybe I just haven't looked at the right codebases, but most of the Rust I've seen reminds me more of C++, being more dense, technical, and "noisy". The language most similar in syntax to Swift I've seen is Kotlin, but it's still more quirky and rigid than Swift is.
I think this does a disservice to Rust, but I do agree with the thrust of your point. Rust appeals to my desire for perfect engineering, Swift appeals to that side enough, but with a healthy dose of pragmatic engineering. On a perfect to pragmatic scale, Swift is in a better place than Rust in my opinion.