I'm one of those people, and, while I have yet to use Rust or Zig for any real work, at least so far I also see Rust as being more directly a competitor to C++, and Zig as the more direct competitor to C.

Or perhaps I should say analogue. Because, it's true, I might choose Rust over C. I'm even tentatively planning to, for one project that's still in the idea phase, and that I would normally have wanted to do in C. Though that's not really because I see Rust as being more C-like. It's more that I see choosing Rust as being perhaps more likely to be worth the extra effort than I've found to be the case for C++.