With a shape-to-shape connection, a connector adjusts to take the most direct path between shapes. The connector moves to different sides of the shape instead of staying attached to a specific point.
When you glue a connector to an entire shape, a red box appears around the shape when you're creating the connection.
Shape-to-shape connections are your best bet when the exact location of the connection on the shape doesn't matter, as in a brainstorming diagram.