I noticed that I am a little itchy after I wear my Kates. I can't easily wear the Kate and put my Shak over it, as it causes the itching to be worse. Then it goes away. Of course, I will keep wearing my Kates, but I think I still have a slight sensitivity to wool. On the other hand, the Ibex boy shorts cause no difficulty.
I'm definitely OK with wool as an outer layer.