EDITED for clarity
I quieted the wires
I am afraid I could not reglue the gray trim if I unglue it as it is a vert glue surface.
You are talking above the steel, but it is between the headliner and steel, and maybe the headliner ‘shell’ itself that is so easily moved to make a rattle, and that I’ve mistaken so long for wood above the steel roof (and whatever may be between steel roof and the thick plywood 'counter top' supporting all the cabover cabinetry and to which the gray trim is glued)
Where was that towel?