I call for the recognition that "processor" and "core" are interchangeable, should be accepted as such in discussion, and people who say Mac minis are dual processor and Mac Pros are quad processor should not be "corrected" because they are, after all, correct.
I am with you here, I am not one that will jump in and correct someone if they use either of the terms. I only correct when people get confused and think that the G5 Quad, or Mac Pro Quad have a single chip with 4 cores.
Something else to throw in
On the definition of being on the same board. Remember that the Dual processor G4 systems had 2 processors on one board as well. However, they were each single core G4 processors that shared the same daughtercard. I have seen people become confused in the past, calling G4 Duals, the first dual core processor mac, which isn't true.