To say that weight, weight distribution, suspension tuning, road surface, and other factors don’t matter is a gross misunderstanding of the article you like to repeatedly insert. You are oversimplifying things way too much. If you were solely testing tires (not attached to a vehicle) then the tire itself would be the only factor, however on a car you have multiple factors that can change the vehicle’s acceleration and deceleration. Each factor may alter the tire’s ability to bite the road, but those factors themselves are the cause of the change, not the tire. For example... increasing/decreasing vehicle weight, changing weight distribution, modifying suspension all contribute to the vehicle’s stopping distance. Assume two vehicles have the identical set of tires, weigh the same, etc. If you have 99% of the weight on the front axle and 1% on the rear, that car will not stop in the same distance as a car that has a 50/50 weight distribution because the rear tires have no weight on them to bite into the roadway. Put PS4S tires on both and you’ll get different results... Each thing I’ve mentioned (suspension damping, suspension travel, weight, weight distribution, et al.) contribute as much to the vehicle’s stopping distance as the tires themselves.
Nobody is arguing that putting summer performance tires on a car will not increase at the limit handling and shorten stopping distances, but you cannot say that a tire is the ONLY thing that causes a car to stop in a certain distance. A LR AWD 3 and a LR RWD 3 should have slightly different stopping distances even if they’re both equipped with the same tires because they weigh different amounts and the weight distribution is different. You’ve tried to reduce every single part of a car into just “the tires and only the tires matter”. Essentially you’re saying any car that has the same set of tires should stop in the same distance because their friction coefficient is identical. Of course that’s not the case. Regardless, I have no intention to continue arguing with you about this.