From a mathematical point of view, using strength of schedule (SoS) as a tiebreaker in a game with no initial ranking and a relatively small number of rounds produces largely random results--that is, it's only weakly correlated with the underlying skill of players.
Using the margin of victory (MoV) as a tiebreaker isn't random. Although it isn't perfect, it attempts to account for the degree of success in a match; as others have pointed out, it also doesn't penalize players whose opponents later drop from the tournament, which is critically important in large events.