@JoeWoodbury: Basically it would continue to render itself normally when minimized. The fact that it is minimized wouldn't affect things any more. It would be drawing to some buffer on the video card managed by DWM, which I assume is already the case when rendering today. Where and how DWM decides to display that buffer is up to DWM - not the app.
The notion of the window's slate being directly placed on the video buffer driving the screen - like in Win16 - went away a long time ago.
