Nobody is not a special user like root, it's a regular user that just happens to not have permissions on anything. It can still read everything, write everywhere it's 0777, use /tmp
. It's no different than making a new user, except that one by convention isn't used. You shouldn't run things as that user, as that eventually just makes it the user that runs everything. It's supposed to be used by NFS and you should always prefer making a new user instead.
I would just use a rootless container, that way the whole system is invisible to wine apart from the tiny slice of files you mounted in it.