Following the terminology popularized by the puncuated equilibrium vs gradualist argument in evolution, one could, I suppose, characterize the two positions as collecting by jerks and collecting by creeps.
Way, way too good to be left languishing in a comment to a post that is almost a year old, I take the liberty of promoting Luigi’s remark to where it might amuse a few more people. What is he talking about? Sir Walter Raleigh, Peter the Great, Captain Bligh and Thomas Jefferson. Big Men, all of them, and stock figures in what Luigi calls the Big Man meta-narrative of plant introductions. Are there others? You tell us.