The first thing everyone noticed is that the X-H1 is bigger and heavier than any X-camera before. For some the added bulk removes the biggest advantage of mirrorless cameras. And while I've been a big advocate for small, unobtrusive cameras, "I believe smaller is not ALWAYS better". The main reason for the extra bulk is that the had to be built in (I come back to that later). Fuji also raised the bar when it comes to a sturdy construction and that added some millimeters and grams too. I never had any complaints about the build quality of the previous X-series cameras but I'm sure for some photographers a more robust body is a plus.
For some of the work that I do, I value stealth over the extra features of the X-H1 but for other purposes the extra bulk can be an advantage. To me the X-H1 is the most ergonomic camera that Fuji has produced when you work with bigger, heavier lenses. The bigger, deeper grip definitely adds stability and reduces stress in my hand muscles. And to be fair, the camera is still not massive and obtrusive when paired with a small prime.
To me the X-H1 is a work tool. I may have more "love" for the X-Pro2 but from an objective point of view, the X-H1 is the best camera of the X-series. The X-H1 is sturdy, flexible and all-round, which makes it for me the ideal choice for those social media jobs where I have to switch between stills and video, for action photography and of course video.
So while the X-H1 doesn't have the sex appeal of an X100F or an X-Pro2, I think it's a great move by Fuji to offer a great camera to an audience that maybe couldn't be reached previously. And at the same time it's a great professional tool for people who are already in the Fuji film ecosystem.
The Fuji X-H1 is like a complicated relationship. There is so much to love about it. The form factor, the quality of the footage, the lens options... but then there is also a lot that just really frustrates the heck out of you. OK, maybe it was just my complicated relationships. Anyway, there is a heck of a lot that the Fuji X-H1 does right, and considering this is the first Fuji camera that is actually touted as a good video-making device, that's actually quite laudable. For the first shot off the bow, it's does quite a bit that impresses even the stubbornest of video camera reviewers.