It’s hard to tell what’s going on in the photo, but there has to be some way to remove the LCD module without desoldering the flex cable. I can’t see that whole thing going through a reflow oven as is, though it’s possible that they tacked down the flex cable as a second operation. Stupid design if so.
I’d bet the change in my pocket (currently zero) that there’s a connector under that module. The module housing is probably soldered to the board, but that’s easy to desolder and a lot less fragile than the flex connector.