With my a6500 the adapter doesn't really work even after software updates, extremely slow and sometimes it doesn't find the focus at all. Completely unusable in film mode. I will send the adapter back.
I use the adapter with an A7r II and it works well. The focus is correct, sometimes even better than with the Nikon. The AF is usually fast, for my purposes it is completely sufficient. I can recommend the adapter.
I also use the adapter on my a6300 and it works very well with my Nikon lenses, especially the AF is very fast with long focal length lenses (everything from 40 mm). Pictures are always crisp (sometimes even better than on my Nikon cameras).
I use the adapter on an a6300 and the AF works.
As far as I have heard, it only works with the 7II, a6500 and a6300 series. It is said to have problems with an a6000.