Saving as a new copy is a great way to move something. In fact, quite clever... yes! And would work perfectly, to duplicate. But... if you have an app hardwire to a webmap ID that will not work. Now it would be really cool, if we could 'change' the webmap ID with AGOL assistant. To change it to what the old one's ID was, after we make the old one's ID some new arbitrary ID. So we could do this Save As trick, then rename the new one with the old one's webmap ID and thus same URL so the app would not need updating and keep on ticking. These are the kinds real world things that can use some more focus grouping.