I don't doubt that it will be a popular choice in that area, but even there it has competition from new languages.
And above all, I think it might take longer than a century to phase out all the C/C++ legacy code!
I could absolutely see C++ devs jumping ship to Rust. I think const generics just stabilized or is about to. That was one of the first shortcomings I noticed when I learned Rust. I think custom allocators is pretty much the next big piece that would give C++ devs pause today.
But I don't see Rust picking up a lot of C devs. Rust is significantly more complex than C. You certainly don't have to use traits and Futures, etc, but you also don't have to use a bunch of features of C++ either and C devs still don't jump to C++.
Zig certainly gets a lot of buzz here, but I haven't personally looked into it. It does certainly sound like it's designed to appeal to the C crowd.
For me cargo, rust-analyzer, and lifetimes/borrow checker just makes programming so much more pleasant.
edit: I dont go overboard on the more advanced features in the rust language, and probably write more C idiomatic code sometimes, but I still prefer using rust over C
But my point of view is quite biased. I am still baffled that people would start new projects in C instead of just using a strict subset of C++, at least: classes, only trivial templates for generics, references, maybe smart pointers depending on what you're doing, but no STL, no exceptions, no inheritance, etc.