Yeah I agree about the X-T4 being ergonomically awful - I'm not sure how people pretend it isn't unless you're just using a small Fuji prime like the 35/2. Even with the vertical grip it's bad.
That's why I recommended the X-S10 or X-H1. Proper grip like most other cameras, so you can actually hold the thing and not have to contort your hand and fingers awkwardly to reach the shutter button.
Both the X-S10 and X-H1 will do F-Log internally, but it's 8 bit only. X-H1 can output 10-bit. X-H2 should be a killer camera.
From what you want, it sounds like the X-S10 is the way to go, unless you want the 10-bit output ability of the X-H1.
AF tracking will be better on the X-S10 but still inferior to the Nikons.
Panasonic S5 also another option if you are *heavily* into video. That's a no brainer if you really want great video specs. No hybrid out there offers that level of features at that price. But autofocus tracking in video is terrible (it's fine for photos). The Panasonic lenses are very good too, though some are quite expensive, but the 20-60 kit lens is a real gem, as is the 85/1.8. Plus you have all the Sigma lenses available.
The Panasonic S5 will definitely be the closest ergonomically to the NX1, with a lot of similar features except massively better. Panasonic's IBIS is fantastic too.