I know Cloudflare is depending heavily on Rust in its services. AWS is invested too. It's used at Dropbox, ByteDance, Canonical. It has already made its way into being part of infrastructure in many companies, and there aren't many alternatives for it, so there's momentum to keep it going.
Even in this sample of explicitly Rust-specific jobs that "most" is already close to a half, and the sample isn't including jobs that use Rust alongside other languages (which in my experience is common, since Rust is good for libraries/plug-ins/components/low-level utilities).
It's probably not likely at all. While Rust's correctness guarantees through ownership checking can be approximated by other programming languages through garbage collectors, it is not a widely understood fact that Rust mutability checking is also a great tool for multi-threaded programming, very challenging to get right even by veteran programmers. On top of that, Rust not only features syntax that's quite modern and ergonomic (analogous to Swift) with elements of functional programming, but Rust also offers modern abstraction-based programming constructs through traits (analogous to Swift Protocol-Oriented Programming). Even the ever C-advocating Linus Torvalds has already agreed to allow Rust as a second language within the Linux kernel. IMHO, Rust is not just a bubble - it will probably only keep growing in popularity.