The difference appears to be that the Depp, Mike Meyers and others style does not involve combing it straight down like the photo below and the previous photo.
The hairstylists must be cutting the front length of their client's hair to reach just below the eyes, then they back comb it or blow it dry backwards. Then maybe they use some sort of gel or spray and then re-comb it sort of forward so it falls naturally into their eyes.
Maybe it's the just got out of bed tousled look they're going for.
