"All it took was some basic understanding of memory management and a bit of discipline." The words of every C programmer who created a CVE.
C and Zig aren't the same. I would wager that syntax differences between languages can help you see things in one language that are much harder to see in another. I'm not saying that Zig or C are good or bad for this, or that one is better than the other in terms of the ease of seeing memory problems with your eyes, I'm just saying that I would bet that there's some syntax that could be employed which make memory usage much more clear to the developer, instead of requiring that the developer keep track of these things in their mind.
Even if you must manually annotate each function so that some metaprogram that runs at compile time can check that nothing is out of place could help detect memory leaks, I would think. or something; that's just an idea. There's a whole metaprogramming world of possibilities here that Zig allows that C simply doesn't. I think there's a lot of room for tooling like this to detect problems without forcing you to contort yourself into strange shapes simply to make the compiler happy.