Over a six round tournament, using 3-1-0 splits players who would otherwise be tied. Most wins is the same tiebreak as most losses.Stewart Reuben wrote: The second paragraph relates to a tiebreak system, not to 3/1/0.
What I don't know about the Basman scoring scheme is whether the 3-1-0 logic is followed through to pairings, so that in round 3 a player with a win and a loss would be unlikely to meet someone with two draws. If so, then it would appeal to some arbiters by giving them an excuse to use manual pairings.