After much reflection I have gone ahead and bought a Fujifilm X-T1.
I have just taken possession of my new camera – very nice, but don’t expect to use it with an iPhone if you value your sanity – the feedback I left in the app store: “You buy the lovely Fuji X-T1 and you want to connect to your iPhone or iPad. Your manual tells you that you need the Fujifilm Camera Remote. You install it and select your camera in wifi settings, as directed. There are four panels on your iPhone screen: Remote Control, Receive, Browse Camera, Geotagging (because the camera has no GPS, in this day and age…) It works about right once you manage to connect, but if you want to change from one panel to the next, you have to disconnect, then go back to your iPhone wifi settings, reconnect laboriously by going through settings in the camera … Once you’ve done it a few times, you come to the conclusion that the app is worse than useless and you forget it to preserve your sanity…”