When you say "traction", do you mean "tracking" (the ability of the cartridge to stay in the groove during difficult musical moments) or "friction" (force generated by stylus tip traveling in the groove that is counter to the rotation of the platter)?
Meantime, what the other guys say is correct. Mounting position (tonearm pivot to spindle) is much greater for a 12-inch arm than for a 10.5- or 9-incher. Each designer specifies how to mount his tonearm, usually, and usually provides some sort of template to assist you in correct mounting of tonearm and cartridge. In general a longer tonearm will produce less skating force, because the angle of the headshell with respect to a line drawn from the stylus tip through the tonearm pivot center gets smaller as effective length gets bigger. Skating force is also a function of the friction generated by the stylus tip, so I would think that longer tonearms produce also less frictional force. (Have to think about that a bit.)