^^^
What? That's not how physics work....
Length is literally in the equation when trying to figure out leverage. You can only get more leverage by increasing the length of your lever or applying more force (or technically moving the fulcrum point, but I'll just consider that as changing the length of the lever). Teeth machined into the open end doesn't make it longer, and doesn't intrinsically apply more force (it allows YOU to apply more force, but the teeth themselves do generate any force that would increase leverage). Therefore the teeth do not increase leverage.