Carolyn, strange as it may seem, there is a difference between profiles that are connected to other profiles (a better term would be attached), and profiles that are Connected to the greater Tree (those that have the Connection anchor/s at the bottom of the profile).
For the purposes of the Connect-a-Thon, every profile we attach (connect) to an existing profile earns our Team a point. The greater goal being that we will Connect those profiles to the Tree (unless the existing profile is already Connected).
So, no, the profiles you add a to new profile to do not have to have zero attachments already. Just attaching a profile to an existing profile will do the trick.(You don't even have to create a profile to get the point/s, because finding the profile of a brother, sister, mother, father, spouse, child of an existing profile and attaching them is enough to get the point.)
I hope this is clearer than mud, because, although it makes sense to me it doesn't follow that it makes sense to the reader.