I'll vote for "Pulp", even "Lots of Pulp", except as noted in a Mimosa or Screwdriver. Perhaps it's only a sensory perception, but the pulp seems to add additonal depth to the flavor.
I'll not pass up the Central Market "fresh, squeezed right there in front of you!" sort, but find the regular HEB brand of Fresh squeezed, not from concentrate (in 3 grades, no pulp, some pulp and lots of pulp, just as good as the "name brand' offerings. It seems consistent in flavor, while seasonal orange variety availablity does alter the appeal of real "fresh-squeezed'.
Back in the 80s, when I was a regular on Marriott "Concierge Floors", a major part of the brand appeal was Marriott's introduction of high quality ornage juice in the lounge. The first I recall was at the JW in DC. I could hardly start a morning in some cities without 3 full glasses of the nectar.