Hi Ken,
I would classify the Shirley Barn as a major varient of the CG tradition, as the plates are not continuous.
Remember also that angle ties, were used in circa 1300, as you correctly state, but that they also made a return, in the eighteenth and nineteenth centuries when "level assenbly" was adopted (The tie beam spanning the building is tenoned into the wallplate, and the top faces of both timbers are at the same level). Here the angle tie braced the roof plate frame, and in some circumstances had a dragon tie jointed into it to facilitate the jointing of the foot of the hip rafter. So the use of angle ties in nineteenth century US work had contemporary useage in Southern UK.