Not all security vulnerabilities are due to pointer arithmetic or out of bounds execution or pick-your-rust-is-better-idiom.
Heartbleed is a great example. It wasn't caused by an error with how C handles memory or strings or anything else. It was caused by failing to validate untrusted input. Rust isn't going to help you with that.
Could the affected parts be re-written in a way where the boundary checks would have worked? Yes. As they could have in C, C++, D, Fortran, or any number of other languages.
If memory safety and correctness was so truly valued above everything else, we'd be seeing a lot more Ada than we do today.
And this doesn't even cover the fact that not everything can be re-written in Rust, mainly due to compilation target restrictions.
Exasperated Edit: No, I'm not saying code should never be re-written. I'm not even saying that Rust is a bad tool if the decision to re-write is made. What I am saying is that Rust is not a silver bullet. Rust is not going to solve every problem ever. Rust is one of many choices for writing memory safe, C ABI compatible code.
The reasons provided by this article are insufficient to solely justify a re-write in Rust; the exact same arguments could be used as justification for rewriting everything in Ada. Or Haskell. Perhaps some thought will be put in the next "re-write everything in Rust" article that takes that into account.
Then again, none of the past articles have.