Looks like a dead end. Why CUDA? There should be some way to use Rust for GPU programming in general fashion, without being tied to Nvidia.
Because others so far have failed to deliver anything worthwhile using, with the same tooling ecosystem as CUDA.
While I agree, that CUDA is the best in class API for GPU programming, OpenCL, Vulkan compute shaders and Sycl are alternatives that are usable. I'm for example, using compute shaders for writing GPGPU algorithms that work on Mac, AMD, Intel and Nvidia. It works ok. The debugging experience and ecosystem sucks compared to CUDA, but being able to run the algorithms across platforms is a huge advantage over CUDA.