I purchased a used X-T1 from a local shop last November. It had the bowed port door but came with the vertical grip, the price was good and the shop offered a 3-months warranty.
A couple of months later I did bring the camera for a trip in Havana. The camera started to overheat very rapidly and once hot, would shut down automatically after 1 or 2 pictures! Temperatures weren't even high : between 10 and 20 celsius during the day. Nothing suspicious happened to the camera (I am very careful with my gear).
Back from the trip, my shop sent the camera to Fuji Canada. When I got it back three weeks later, they had changed the motherboard, the port door, all the rubber grip and many other things...all without charging me. Kudos to Fuji, they did a great job and the camera has been working perfectly ever since.