How exactly does it show this? To me, it just shows an unplugged lamp lying on its side. Was the lamp damaged by having the door smashed against it? No. Is it likely the stagers plugged the lamp in, stretched the wire across the doorway, stepped across the wire but forgot the lamp they were stepping over when locking the door and throwing away the keys (Mignini's theory) leaving this incriminating item behind? Is it likely, if they did, that Amanda would not come up with something better than professed incomprehension? What was the lamp for again? To spotlight their DNA and prints wasn't it? Meredith had a working lamp, so they could use that.
The manifest idiocy is all on your side and that's being charitable. You have taken sides with liars and incompetents and the lamp proves it by itself.