OK, my hinge problem is told here:
In my case, the problem is at the screen side. Something came loose, and now I can’t close the laptop any more without twisting severely the lower right part of the screen cover (the laptop turned into a desktop and was replaced by a Librem15rev3). I still have the tiny screw that fell out the gap at a certain point. Purism was hesitating to repair it, also because it seems that it is very difficult to get the backplate off the screen (and because it is a 15rev2 for which no spares are available any more).
Did anyone manage to take away the backplate of the screen? The picture above seems to suggest this…