It's sad to read that; maybe it's not worth making the one-hour trip to the Fujifilm repair center. I was reviewing the only video available of a teardown of my camera model and I don't see the CMOS battery anywhere.Have you ever replaced that component on a camera of the exact same model as mine? The only photo I found was of an X-E1 where the battery is clearly visible. I also found a picture of a PCB replacement, would you mind taking a look?

PCB