I actually don't think this is true. I do think that most programming errors are type errors, in the broader sense of one part of a system making one set of assumptions about the properties of some data, that aren't shared by another part of the system; and that would've been caught automatically by sufficiently sophisticated static correctness checking. I do not think that Rust has a maximally sophisticated type system (nor is it trying to), and while this is reasonable for Rust as a project to decide, I do expect that there will be languages in the future that do more complex things with type systems that might supplant Rust in some domains.
The Cloudflare incident was caused by a confluence of factors, of which code written in Rust was only one. I actually think that Rust code worked reasonably well given the other parts of the system that failed - a developer used unwrap() to immediately crash instead of handling an error condition they thought would never happen; when that error condition did happen the Rust program crashed immediately exactly as expected; and if Cloudflare decided that they wanted to ban not handling an error like this in their codebase, it's a pretty easy thing to lint for with automatic tooling.