Shutter counts on Fuji cameras are meaningless.
They can easily be reset to zero as the count is stored in volatile memory.
You may be approximately right about the "meaningless" part.
Later Fuji cameras (not the X-E1 or X-E2) write data to an EXIF field called "Image Count." From what I have read, there are at least three problems with this EXIF field:
1. The "Image Count" is a special kind of EXIF field known as Makers Notes, and various EXIF readers may have trouble reading Makers Notes in general and Fuji's Maker Notes in particular. Many of the online shutter count tools are not set up to correctly read and interpret Fuji's Maker Notes.
2. The Image Count may include electronic shutter actuations as well as mechanical ones.
3. Apparently, the way Fuji has implemented the Image Count EXIF field, it can only count up to 32,768, after which it rolls back to one and starts over.
Discussion here:
https://www.fujix-forum.com/threads/shutter-count-or-not.75133/