One domain requires removing privacy and re-adding to see site.

For the plugin Sitewide Privacy Options, one one of my sites, if I have it set to one of the three:

I would like only logged in users to see my blog.
I would like only logged in users who are registered subscribers to see my blog.
I would like only administrators of this blog, and network to see my blog.

Then it does not let anyone view the content, even when logged in, even the super admin, until I reset it back to one of either:

Allow search engines to index this site.
Ask search engines not to index this site.

And then view the site with that specific user, then set it back to one of the three more secure options and I can view just fine.

Any thoughts?

Kind Regards