Yes, applying a chassis protector will cause the car to cartwheel every 3rd left turn. It will spin out ever time time you pass a car with green paint on your left or get passed by a car with yellow paint on your right. There's also a chance the center diff could explode if you fart while on the driver's stand, but right now the evidence of a link is anecdotal at best.
If there's anything else I can assist you with, feel free to ask!