Not commenting on the quality of the sensor, they are just milking it with previous generation one.
What touchscreen lol? Only thing it can do is move focus points. Every other brand now has a much better implementation that you can use for much more.
FPS may be more than your needs but doesn't change the fact that it's been the same since A6000.
A6600 costs more than X-T3 or X-H1. Granted AF is great but the rest in comparison is bad. AF is not the only thing in a camera.
Sounds like you are anti-improvement
The sensor is great, there is no need at all to do anything different with it at the moment as this would likely mean increased costs. It compares very well to what is available from the other manufacturers.
What else would you want a touchscreen on a camera for? It isn't a tablet or a phone, I wouldn't want to have to use a touchscreen for navigating around the menu's which I rarely use once a camera has been set up how I like it. Changing settings via a touchscreen, na no thanks.
Just because the fps hasn't been increased doesn't mean anything. It is more than adequate for the amateur photographer APSC camera's are aimed at.
The A6600 isn't even available yet so you can't compare pricing to camera's that have been available for some time.
In terms of the A6600, it might have been nice for them to include dual card slots but on the other hand you are getting a much better battery than with any of the other APSC cameras. As these are aimed at hobbyists while their photos may be important to them the world isn't going to end because a card corrupts and they lose some holiday snaps etc.
The A6600 seeing as you mentioned it in particular has quite a few advantages over other similarly priced APSC camera's.
You can't ignore the a.f performance, it is just simply better and a.f performance is more important than anything else on a camera system if you are mainly shooting people.
You now have eye a.f for video, I have no interest in video at all but for your normal average Joe that sounds like a nice bonus.
The battery life is much better than any other mirrorless APSC camera.
The A6600 is aimed at amateur photographers where as the Fuji X-T3 and X-H1 is aimed at amateur/prosumer users, those people who possibly might want to use the camera for the odd bit of work they do for beer tokens and don't have the budget for a full frame system.
If I was in the market for an APSC camera, I would choose an A6600 because of the a.f performance and battery performance over what Fuji currently has available. Then again I am not in the hipster or old man demographic Fuji aims it's products at.