> The technology to really convert industrial-grade apps from C to Rust could probably bullet proof the C apps more easily.
No, some C programs cannot be made safe. This can be due to dependency on undefined or unspecified behaviors, or it can be because introducing proper safety checks would limit the domain of possible inputs too much to be useful, or other things.
Translating to a safe language can maintain the expressive capabilities of the inputs while statically guaranteeing correct operation at run-time. It is objectively better in these cases.
> field-proven C
I don't think this exists, as the numerous critical vulnerabilities over the years have shown. All we have is C that seems to work pretty well often enough to be useful.
> old code is proven safe
Old code is assumed to be safe due to luck, actually. "Prove" has a specific meaning (especially on a post for a paper about proving things), and the overwhelming majority of C code is not proven to any rigorous mathematical standard. In contrast, the Rust type system has been mathematically proven to be correct.
> A full on translator might be an ideal option.
It depends on what you're willing to give up. If you don't mind losing performance, limiting your domain of inputs or range of outputs, giving up code legibility, and so on, then sure, this can probably be done to some extent. But when you start wanting your translator to be both sound and complete over all of these concerns, you run into problems.