Hard to believe that this stain transfered from one dry surface to another dry surface, especially with no pressure being applied.
Thanks for the good tips, I’m thinking at this point I’ve got to hit up the local service center to see what they can do. I’ve already gone up the chain of cleaners and tried the magic eraser. I’m worried I may have already damaged the fabric, so I’m not touching it myself any more.
The hat is a Melin Trooper II, a hat that’s actually designed to get wet and wear outdoors to the beach/pool/lake. The front is neoprene and the back is a quick-dry nylon fabric (that’s the part that was touching the seat). That adds further mystery to my it transferred. This hasn’t happened between the hat and other clothes or my head when I’ve gotten it wet before.