OK, I’ve found out what I have to do. (PE Pro, v2.3; iPad 2, iOS 7.1)
The maps were not updated. The Info Window has the note « Saved for offline use. » Wrong. When I tap the View button,and PE Pro shows me that map, the map begins updating. The note below the map name (in it’s Info Window) changes from « Saved… » to « Downloading (XX.X%) » and the download proceeds. Rather slowly, in some cases, as the load on the PE server changes, I assume.
Maybe I missed something somewhere. This seems a not very informative system. I like having the opportunity to choose which maps I’m going to update, individually. My datacap at my home ISP would never allow me to do a 4gb download in one go! But having no idea which maps are downloaded/updated is not good.
At the very least, after « deleting » the actual data of My Maps, the notice should have changed from « Saved… » to « Not Saved… » At the best, to maintain consistency with the rest of the interface, there should be a Saved Star between the Delete and View buttons that changes from outline to filled as relevant.