Zig enforces correctness much more than C or C++ does (e.g. no implicit 'lossy' conversions, much stricter and enforced error handling, no implicit null, etc.), so it's completely fine to say that Zig is much safer than C or C++.

The main difference between Zig and Rust is the borrow checker, but a lot of memory corruption issues in C and C++ are "second order effects" of sloppy code which would be caught in Zig either at compile or runtime.