I've been calling this out for forever now and have been repeatedly told that actually, competent devs with C are fine and the C software we use has been battle tested so it's largely secure.
And how does Rust help? As far as I know, an integer overflow in Rust panics in debug but just wraps in release (a bad choice in my opinion). Would it help specifically in the code execution part of the exploit?
The key difference is even If an Integer overflows in Rust It still doesn't violate memory safety in safe Rust and therefore doesn't lead to exploitation.