First, you should declare what you are calling the x-axis. I am assuming you are referring to the standard SAE definition of x being longitudinal.
Inertial forces give rise to twist in the same way they give rise to lateral load transfer. Imagine a stick figure car, with a point mass at the CG and restrained at the front and rear axles.
Lateral acceleration acting on that CG point puts a torque on the whole system which is restrained at ground. Whole idea is to have everything rigid, or significantly more rigid than the "compliance" you are intentionally building into the system - the springs, bars, etc.
Grip is a four letter word.
2 is the new #1.