Lateral acceleration is a measurement of the propensity for an object going in a straight line to be changed into movement in another direction. It can be calculated easily enough, but not fast enough to be actually considered during driving.
The amount of weight distribution from left side to right side at the rear is a function of the height center of the center of gravity at the rear axle times the mass moment arm length that is determined by the height of the lateral control mechanism. The current stock car rear lateral control mechanism is the pan hard bar. This lateral control mechanism only changes vertically about one half of the travel of the outside frame rail at the rear axle, and presents a relatively slight change in the mass moment arm pivot height.
The bigger issue is at the front axle with independent suspension. The unequal length upper and lower control arms and the inclusion of the steering arms make control of the mass moment arm pivot point almost impossible to control. The center of mass at the front stays relatively the same, but the rapidly moving vertical movement of the roll center height plays havoc with monitoring weight transfer. As this roll center height changes its vertical position it largely affects the front tire instantaneous swing arm length and that affects that tires camber gain characteristics and that affects the contact patch pattern. Here is where the actual determination of cornering positions or spots is determined.
The area of the contact patch of the tire is determined by air pressure and vertical load. The total area times weight determines a maximum lateral adhesion figure called a vector. The whole idea of cornering at speed is a constant procedure of vector analysis. You only have a certain amount cornering force to deal with. You can use it either for braking/accelerating or cornering, but those forces, when combined can not exceed the total of the vector length.
Regarding the placement of the race car during qualifying versus racing, I would make the assumption that the driver will run high on the straight aways in an effort to minimize the turn radius resulting in a longer vector that can be used for cornering while keeping the RPMs up. It would make sense to me that he would then run the race close to the bottom making any attempt to pass require travelling a greater distance to do so.
These are just casual comments. I have been enjoying reading the posts lately.
I loved the NASCAR Dodges.