Share "Published" with only certain Coda users

Thoughts on being able to publish a Coda document (The publish view looks nicer, doesn’t show cross-doc stuff, and etc.) and limit it’s viewing to only those that it’s shared with, on the published side? Essentially, a unique “Published Sharing” tab akin to the sharing tab for editing/viewing/etc.

I understand how to do this on the edit side, but having some users default view as Published, without the ability to see Cross-Docs, and etc. would be great.