Thanks for the replies. This still doesn’t sound right. Maybe I wasn’t clear enough outing the problem. 

if iI configure my profile as follows 

Visibile to = Friends (or Relationships)

Who can post to my profile = Public

Then create a new post (to Posts, Timeline etc..)  and in the post set Visibility = Public

My post doesn’t appear in Home screen content even though it is marked as Public. but does show in  Dashboard content. Also when a Friend/Relation tries to view my profile they get Access Denied - This content is Private.

If my profile is set as follows

Visibile to = Public

Who can post to my profile = Public

Then Posts with Visibility = Public show up in both Home and Dashboard content and members can view my profile (But so can anyone)