These memory-related exploits disappear with Rust aside from in "unsafe" blocks (possibly the worst named keyword in any language... it should have been called "trusted"), and that means you have a smaller and more easily auditable attack surface for these types of memory-related exploits. Some code (e.g., FFI) can't be verified as memory-safe by the Rust compiler at compilation time so "unsafe" is there as an escape hatch. I've written a bunch of Rust since 2014 building things like webservers, realtime futures processing algorithms, MEV bots, etc., and I've only had to use "unsafe" a few times.
I've also worked in security on products at Fortune 100 companies, and C is a constant nightmare for CVEs. I think I have PTSD from having to update libcurl. The more software we have written in memory safe languages, the better off we all are.