Dunno about AF-C, I don't use it, but AF-S and DMF have been 100% accurate, and I've been an A7x user since the first 'r' came out. I haven't used 'eye detection' often enough to comment but in my limited tests ( 55/1.8, a couple of Canon's and a Batis 85) it's been good, very good. DOF is so narrow in the new high MP digital realm that I'd say that single feature is critical for anyone doing portraiture.
ITM I, like you, use focus-and-recompose just as easily on the Sony (with centre spot AF) as on MF.
I *think* I've tried every mode and permutation of AF on the Sony!
I use eye-focus in AF-S for model shots in the studio, but it's not foolproof. It's accurate, but sometimes it accurately focusses on the wrong thing, or more commonly fails to lock on. A lock of hair falling over one eye often flummoxes it completely, for example. I've a vague feeling AF-C works a bit better with eye-focus for me- at least I get a better feeling for what it is focussing on, anyway.
I usually fall back to focus-and-recompose with centre spot AF when I think it is going a bit wrong or failing to lock on. That's definitely more hit-and-miss, and my eyesight isn't good enough these days to tell if it has really got focus, or just focussed on something close which isn't what I actually want it to focus on. (Hair vs. eyeball, for example).
If I think it is really struggling, I'll go to manual focus (or DMF). It's lovely that it then zooms in and lets you really nail focus - better than an SLR viewfinder, that- but it does slow one down and if the model or you move so much as a centimetre, you have to redo it, which is a bit painful.
So when it works, it works really well, but when you need to over-ride it, the ergonomics of doing so come up short for me.
As I said my experience is that my hit-rate of nailing focus on the Sony is a fair way behind my hit rate of nailing focus with the Hasselblad. After a year or so of using the Sony, I'm finally prepared to call that out as being more due to the difficulty of over-riding the camera's PDAF decisions than due to my ineptitude I think.
Roll on the A7RIII, or an "A9" with the A7RII's guts in a slightly larger dSLR style body with the all important fully articulated touch screen!
Cheers, Hywel