Some tire specialty shops have the capability to 'true' a tire for excess runout, which involves grinding off the excess tread on the high spot. Although it is a common misconception to believe this would shorten tire life, however a 'trued' tire will outlast and untrued tire with runout bouncing down the road. Vehicle shakes when the brakes are applied and is felt most through the steering wheel. Imagine a spinning dinner plate that is warped-not turning true at 60mph and you try and slow it down by clamping on to it. When the brake caliper tries to stop a warped disc rotor, it causes it to shake.
Rotors can be machined true, however thin rotors are even more susceptible to warping.
The thinner the material, the more difficult it is to dissipate the heat. Rotors have what is referred to as 'machine to' specifications so that technicians do not machine them too thin to prevent problems from occurring. Slow speed wobble. Most notable while driving through parking lots. Tire separation is the major cause of this symptom.