I just looked at mine....turning the key to the right lifts a plastic latch that releases the metal 'hoop' attached to the glovebox door, which lets it fall open.
I hear a distinct click when after the key has been turned to the right to release the door you release the key and it returns to the original position. That 'click' tells me that the key is making the latch lift...do you hear the 'click' after you release the key?
I assume you've tried pushing in on the glove box door to help it release? Trying to jiggle it while the key is turned to the right?
Always hoping the cable releases to the glove box and seat release don't break...if they do gaining access to fix is difficult...