I stand corrected.. I should have said "with sails trimmed as if the boat were close hauled" .. However there is some evidence that the term comes from the sails having to be hauled in close to the boat on that point of sail.. but yes, there is a difference between a traditional point of sail and the trim of the sail.. My bad.
Additionally, however, the Chapman’s says “When there is the smallest practical angle between wind direction and heading, the boat is said to be ‘close hauled’, meaning that its sails are hauled in close to the hull.”. I take this to mean that the record holder and fast catamarans do in fact sail close hauled, according to the statement in Chapman’s Piloting And Seamanship. They are sailing at the smallest practical angle between wind direction and heading when they get to the highest apparent wind angle to which they can sail.