I can't really give a comparison with a T2 as I went straight from the X-T1, which I kept as I feel that its sensor seems to give a nicer result for portraits, to the X-H1.
I've owned mine since August 2018 and in my opinion, which is all this is, an opinion, the plusses and minuses are these.
Plusses
It has the finest build quality of any X series camera.
The only words I can use to describe the shutter release and shutter sound is beautifully soft.
The larger grip transforms the handling, I moved to Fuji from a Nikon system, D700, as my wrists were telling me I was getting old, and fitted a third party grip to the XiT1 as I found it awkward to use without the additional grip.
The IBIS system made any worry about camera shake when using my 16-55 F2.8 and 90 f2 a thing of the past. Also those two lenses, particularly the 16-55, are much better balanced on the X-H1 due to its greater size and weight.
The viewfinder is a delight to use, with the bigger top housing the round eyecup from the GFX is a good fit and the one with the side extension excludes all side light.
Negatives
It is heavier than the other X-series camera, inevitably so given the superior build.
The battery grip is also heavier for the same reason plus it contains two batteries.
The diopter adjustment is not lockable, but then neither is the T2's.
There are other plusses and minuses, but for me, these are the main ones.
My advice would be to hold the X-H1 in your hands and you may well find like quite a few others, including me, you won't want to put it down.