VRising Wine folder not owned

OK. Just to be clear, I asked originally for the perms inside the docker container. You can get into the container with:

docker exec -it AMP_INSTANCENAME bash

(Substitute INSTANCENAME as appropriate.)

Then check the perms.

But if the NFS mountpoint perms on the host is what you showed in the second screenshot, then that is the issue. Have you tried chowning the mountpoint with amp:amp?