I probably should check the manual, you're right.
The eye af is okay if the screen is visible, because you can use touch and drag to move the starting point. You can't do this with the josystick afaik, but you ca use the joystick to select a different eye once one is found. 'Nearest eye' would be a nice feature for a firmware update but I can understand it not being in. That's Canon's call, and I don't buy Canon expecting firmware updates.
I generally find it easier to learn a camera's capabilities by using it rather than reading a manual though, for example you wouldn't know from the manual about not being able to turn off the R6 screen, while still having it available for image review or using touch and drag for eye focus tracking adjustments. Nor would you know from having used Canon's DSLRs. I decided to buy the camera then sell it if necessary, rather than rent it and definitely waste money, or read for ages.
I can make the R6 work, but it doesn't make me very happy or comfortable, mainly because of this rear screen feature than was added to the R5 as a firmware update, but not the R6. For me, that says Canon doesn't really respect the R6 line but treats it more like a consumer camera. The lack of this option is ridiculous to me. It is so simple. I can understand paying more for the better EVF, more MP, top display etc, but I don't think the R6 should be missing an LCD screen info option being blank but still usable for touch and drag.
Its a bit frustrating to have to keep the screen closed so as not to be annoyed by it, that's all. It sounds like I'm not alone in this, yet Canon has not fixed it, (preferring instead to either baby R6 owners who may inadvertently turn off their screen and be confused, or perhaps assuming they will not know their settings given the lack of top panel screen, ridiculous attitude in such a camera and a market where they are no longer necessarily viewed as top dog.
It would be a chore to switch systems completely, but if I was starting again, for my needs and the good enough and generally smaller/ lighter GM prime lens options, I'd possibly choose Sony.