True.
> Rust is no exception.
Also true.
> Nobody should derive any confidence from the language a product is written in.
This, on the other hand, is a non-sequitur, or at least it's too strong, because Rust can do things that C can't do: safe deterministic memory management and safe concurrency without data races. These things are not just available, they are the defaults in Rust. You have to go out of your way to get these things wrong. So, I wouldn't derive absolute confidence from an application being written in Rust. But I'd be willing to bet a whole lot that it has fewer memory bugs than an equivalent application written in C.