It makes sense. There is an inperfect solution if you want to try it. It will work about 75% of the time.
Grab from the play store and app called quickshortcut maker. Install it. Use the second tab.. applications.. to select an app, and click create. This will place a shortcut icon to that app on your home screen (don't worry, your not going to leave it there).
Next go into the edge settings, and use only the TASK EDGE. Chose edit, and then see if the home page shortcut that you just made is listed at the top. If it is, you can add it to the task edge, and you are all set (and you can now delete the home page icon you made in the last step).
I have found a group of my apps that will not show up in the task edge options. Not sure why. So you have a chance. Not sure if there is any other way. But this might work