There are solutions to your problem that are more of a workaround. We use both ;-)
MAC: Start movie recording in Quicktime, select the ipad as camera and publish the window that appears via screen sharing.
Windows: Basically identical, as there is no Quicktime on windows, we use the app anymiro on the windows computer - this also works with android tablets.
This allows the ipad screen to be mirrored in a good resolution and teachers can use any software they want on the ipad.
K