Forgive me. But, Widgets as far as Android goes. Seems just like applications. You activate the icon representing the application. It runs a program. Now, the "Clock" one or "Weather" widget looks like its already running so to speak. But, its just an application. I'm sure you can "quit" the widget and in order to run it again, you start it up like any other app?
Even so, how is this any different then OS X widgets? The only thing that comes to mind for me is that is running on a different screen (not overlaid on top of your other icons or widgets). While on the droid your widget can run with the other icons on your screen. Not taking up the whole screen, or it can if you want. Its still just an application.
Again, I'm not technical enough to know if there is some better explanation then what you wrote or what it is or whatever. Just to me doesn't seem like a big deal as far as making a whole other "term" for it. A Widget is an application without and icon that can run however you want. That's about what I take away from it. And even then I'm not getting it. And OS X has it