You can set any Nikon lens to any of the infinite apertures between full aperture and closed down. The aperture doesn't work in clicks, your mind does. I hate half stops, I just bought a Zeiss 21mm ZM and it has 1/3 stops! What a terrible thing to do to a lens...make it nearly useless to someone not shooting with a meter without taking the eye away from the place the eye is supposed to be looking! I set my D3 to full stops after about 3 months, what a huge waste of time rolling through every 1/3 aperture when trying to shift from an f8 shot to an f2.8 shot. Unfortunately D lenses don't offer you infinite aperture precision if that is what you need, that's a loss.
If you have no click stops on a lens, I agree with you.
But if there are full stop clicks, on the aperture dial,
then if you try to set in between, IT WON'T STAY.
I went through this with my Mamiya RZ. I had one
of the older 90 mm lenses, that did not have 1/2 stop
clicks & I couldn't set in between the stops. I got rid
of this 90 & got a newer one to match my other lenses.
By the way, I agree with you, about 1/3 of a stops.
I do believe in 1/2 stops, because I know most of them. There's also the issue,that only my EOS 1n RS
can do 1/3 stops, so for consistency, all of my 35 mm's & RZ are good to the 1/2 stop.