I don't think Rust is incidental here. First, uv's particular design cargo culted from... well cargo. Which, they should be cause cargo is a great tool, no shade there.
But otherwise, people on this forum and elsewhere are praising uv for: speed, single-file executable, stability, and platform compatibility. That's just a summary of the top reasons to write in Rust!
I agree 3.14 is a big deal as far as Python goes, but it doesn't really move the needle for the language toward being able to author apps like uv.