"paws.wmflabs.org" should be the public view and "paws-cluster.wmflabs.org" or something like that should be the "editor" you load up to work on some notebooks.
https://paws.wmflabs.org/<notebook path> -- e.g. http://paws.wmflabs.org/User:EpochFail/demo.ipynb
Argument:
Imagine going to en-public.wikipedia.org. That would be silly.