Earlier quoted context omitted.
I've only ever really seen it in Zig communities that Rust is closer to C++ In Rust communities, it's often pitched as alternates to both, but closer to C. I suppose it's all relative, but the comparison of rust to c++ seems external
Yes, I also had the impression Rust is a C replacement.
Rust is already approaching C++ in complexity, surpassing it in some places; and also in expressive power, but not surpassing it anywhere yet.
If Rust does not end up fizzling (which is still very possible!), Rust programmers will generally be drawn from the same population as C++ programmers. They will be people who want and can use a powerful language to make themselves more productive and able to manage bigger projects, without need to worry that they are taking a performance penalty, or losing control of details that matter.
Users of Zig, like of Nim and C, will be those uncomfortable with language power, disinclined to automate. Their attention is not on software and what they can build of it, but on problems where a thin veneer of software can add something useful. When there is not much for the software to do, you don't need much power to get it doing that.