The leaf shutter can be a huge deal, sync to strobes at higher shutter speed and (near) silent operation. The x100T really completes that with the electronic shutter and the 3 stops of EC. Coming from a DSLR looking at the Fuji line a year ago, the XT-1 was about the size of a SL1 or not much smaller than a 6D without the grip. The X100 and X-E series are truly pocket-able cameras with the right lenses, which makes them easy to truly never be without a camera. The X-E was a huge leap for me to make, I'd pretty much only used DSLRs or film SLRs except for about 150 of the roughly 800k or so images I've made in the decade prior, those other 150 were pixelated laggy EVFs that basically ended up useless as a gauge of the image.
I certainly saw the appeal and stressed over the X-Pro and X100 for that reason, there was a part of me that felt hardwired to need an optical view. Then there was the fact that I'd had the convenience of having at least 2 lenses with me for the last decade, and I felt like I needed to change lenses at will to make good images. The X-Pro sits a little tall and I wasn't confident of it fitting into a pocket. I ended up going with the X-E2 and a 35/1.4 with the intention of buying more lenses soon after. 11 months later and I'm still with the 35 as my sole lens (hey no sensor dust right?), and occasionally wonder if the x100 may have been a better fit, though the 50mm equiv. works a little better for me than the 35mm equiv. I could certainly see the X100T as an alternative to the 23 when the extra shutter options and pocket ability are factored in.
I shoot a ton of sports, almost none of it is with the Fuji, and it's the main reason I keep my Canon. That said, one of my best NCAA basketball photos of the year, last march with the X-E2, and I tend to bring it to games and use it for lots of around the event fan and pageantry type action. I also know a photographer that showed up to a football game realizing that the bag was a camera light, having forgotten his 7D he had to make due with an X100 and the teleconverter, he had to work hard to get the shot but he had several keepers at key moments in the game, and was able to get the shot he needed. The X-E2 with the 50 has overhauled my people photography, I'm not sure if it's magic within the camera or that the form factor has made the camera part somewhat invisible to my subjects, or that I'm forced to work instead of zoom or change lenses. The one lens thing eliminates a decision tree and forces a different type of response that now a year into it makes the X100 more appealing, even though coming right off my DSLR only experience a year ago, I would have thought was nuts.
I've played with the X-T1, I really do like it and may even get one in the future. I wish I had an ISO dial on the X-E2. But the size needed to accomplish some of the desired tasks of the camera, makes it so I consider it to be a small SLR not a tiny mirrorless I can through in the pocket of my jacket or cargo pants. And something that big wasn't what attracted me to picking up a second system, but it might make life easier for someone looking to switch purely to a Fuji system.
The X series is all the same sensor, there are many choices and there's a lot of nuance to making those choices. Don't rush it take your time and make careful selection, the cameras really are made to be chosen based on the features for the mission.