Whilst it should be possible to address all those issues by ensuring that the python interpreter is always called within the snap runtime as I did in the demo I agree that things become non-obvious and it will create a different set of issues.
Thus, requirements for classic are understood, uv fits in tools for local, non-root user driven configuration of/switching to development workspaces/environments and publisher is already vetted. Granting astral-uv snap use of classic.
You will need to remove plugs/slots from your snapcraft.yaml before it can pass automatic-reviews and those properties as not allowed with classic. I will recommend you to create a new forum topic for the alias request as it will be easier to catch reviewers attention this way