Example: Does two persons linked by a media are in its connections checklist (one picture displaying both of them, two signatures on the same birth license added to these two persons gallery, etc)?
The Deep Connections Gramplet shows a deep relationship between active person and home person.
Unlike the relationship setting that can be displayed on the status bar, the Deep Connections will display all possible relationships as opposed to just the closest relationship on the status bar.
So in short, it shows the relationships of people through family connections.