These were the files I was using. I just checked and the daylight files at ISO6400 were quite close, so it looks like a difference under tungsten light and nothing to do with ISO (which I suppose makes sense)..
Choosing the Adobe Standard profile doesn't infer that Adobe is trying to make all cameras match. The Adobe standard profile is designed to match what the camera's standard output is. Since different sensors have different characteristics there is no way that Adobe can make all cameras match. It will be your responsibility to develop your own default settings for both cameras to make them match. That might include using the DNG profile developer to create your own profiles for each camera.
isn't Fuji XT-1 support preliminary in 8.4RC ? if so then you might want to waif for 8.4 final just in case... it is possible that AS profile get some changes
it looks like a difference under tungsten light and nothing to do with ISO (which I suppose makes sense)..
I agree Phil - intra-model sensor variations should really be very minor, and the role of Adobe Standard is to normalize inter-model variations to a common standard. And, I think you nailed the most common reason for discrepancies is typically white-balance.
If you are finding excessive variance even after (manually) adjusting white balance (do not rely on w.b. presets), then such should be reported to Adobe as a bug.