My experience is that E lenses can be erratic in very cold and humid winter conditions. None of the other types of Nikkors give me regular trouble. With E lenses it is typical to run into problems in the peak of winter. I would not choose an E lens for it being E but of course the newest lenses are likely to stay serviceable for a longer time than some older autofocus lenses.
If you want to use autofocus with mirrorless you need a lens designed with that in mind. AF-P lenses should qualify (they actually show quiet and snappy AF in live view) but so far they're not E. Stepper motors have been introduced into DSLR systems by Canon as well. For both manufacturers, these lenses are not the high end models with fast maximum apertures. Probably USM is faster and that's why they don't use stepper motors for fast professional grade lenses. Sony also put two motors in the 70-200/2.8, one of them is ultrasonic, illustrating the continuing need for this type of motor in a fast telephoto. Personally I don't see any point in an adapted, mismatching AF body and AF lens combination that were not designed to work with each other. The motor is one thing, flange distance another (phase detect AF is optimized for a specific distance, according to Nikon), communication protocol another, and finally the filter stack and microlenses are designed to be an optimal fit with the manufacturer's own lenses. The adapter is often a clumsy addition which affects handling and ergonomics.
But for me this is not relevant since I am happy using the DSLR and if I want a quieter camera, I would get one with an OVF either from Leica or Fuji. Those systems I use with their native lenses to make best out of them as well.