We did something similar, but without a hinged door. I wish I could show you a picture, because it is hard to describe, but I lost my camera and have not replaced it yet. The interior of our corner is the same, but instead of putting a hinge, we have two doors. One has a knob, and the other doesn't. We have to open the door with the knob first, and then open the other door.
It is probably slightly less convenient than opening a hinged door, but i have never liked hinged doors. I find that they bang around on everything, and are more likely to get broken and out of line. My KD does this on all his corner uppers, unless the homeowner objects, because he finds it more durable. I definitely like it so far.
Q