> Replacing parts of curl with Rust will not be possible.

It's not just possible, it's been done. You can compile curl with rustls, you could for a time compile it with quiche, and work is ongoing to compile it with hyper. Curl is remarkably modular, none of those are mandatory.

> And Rust supports a tiny subset of possible C targets.

Gross overstatement. Rust supports the vast majority of devices that people buy today. Even if you ignore platform popularity and just count platforms supported by gcc vs rustc/llvm, there's only a handful missing from the later. And if you're talking about vendor-specific compilers, a lot of them don't support modern C or C++ either.