Password protect and registered only can view

Hello,

I'm running a multisite wordpress setup and decided to go with this plugin to handle the privacy settings. However, I was wondering if there is a way to set this plugin where only registered members of a specific site could view the site, or else visitors would need to know the password to access the site.

I see this option on the seetings page, however it doesn't perform as listed. For example, when signed in, a member of the root/main site can still view other password protected site even though they are subscribed to the other sites.

Any help would be greatly appreciated, thanks!