I think the intent (while not from Jive) is to highlight what are the common areas that you as a user-visit. If you look at when you use the "UserBar->New->Document" you see a "Browse for location region below. This auto-populates with predictable selections to make it 1-click access to your most likely container (i.e. the container you are currently in, or containers that you've recently contributed to for that content-type). I think the My Places is trying to mimic that personalization; while Places is simply a way you can dig through all permissioned containers.
I think the suggestion regarding confusion is valid, and would almost recommend merging the 2 widgets, such that My Places is the 1st tab under the Places Widget..and default view. In addition, by merging it ...you'll reduce the overall Widget palette...which is something that also needs to be addressed...Drag/drop is fine...but as the pallette grows...real-estate shrinks and there needs to be a better way to manage the "N" growth otherwise the regions you are dragging to ...may not be on the screen...making the drag-drop experience not ideal.
Just some thoughts. =)