There are two parts to this question: Is it a good idea and would it have significant enough benefits to justify switching from C or even assembly, and do you think we will actually see a major shift to Rust-based programming platforms in the next few years.
I think, it might happen maybe 5-10 years from now.
Rust is still a relatively young language and there’s still rather much movement in the ecosystem. New libraries appear constantly and others become unmaintained.
With microcontrollers and such, you need very specific libraries, so there’s even less selection, and you want libraries that’ll be around for a couple years.
Add to that, the usual friction of new technology adoption.
Eventually, though, I definitely think that it will take over. There’s now a whole generation of devs that are used to safety belts so much that a low-level language with safety belts will see a lot of interest.