That is not the question we're interested in answering, and elimination of all memory errors is no one's ultimate goal, certainly not at any cost. By definition, unsound techniques will let some errors through. The question is which approach leads to an overall safer program for a given effort, and soundness (of properties of interest) always comes at a cost.
(also, Zig catches various overflow errors better than ASan)
> Empirically, Rust's approach has resulted in far fewer memory safety problems than previous approaches like smart pointers
I don't doubt that, and if minimization of memory errors was programmers' primary concern (even in the scope of program correctness or even just security), there would be little doubt that Rust's approach is better.
As someone who currently mostly programs in C++, lack of memory safety barely makes my top three concerns. My #1 problem with C++ is that the language is far too complex for (my) comfort, where by "complex" I mean requires too much effort to read and write. That, and build times, have a bigger impact on the correctness of the programs I write than the lack of sound memory safety. Would I be happier if, for a similar cost, I could eliminate all memory safety errors? Sure, which is why, if C++ and Rust were the only low-level languages in existence, I'd rather people used Rust. But I would be happier still if I could solve the first two, and also get some better safety as a cherry-on-top. Memory safety is similarly not the main, and certainly not the only, reason I use languages that have a (tracing) GC when I use them.