Wait a min, I remembered something else now that you say that gogatrs, when you bump up the pressure, it was reasonably looser for the first couple laps then it came in fairly fast didn't it?
Contact patch is how much of the tire actually touches the pavement, so a flat tire has the largest and an over inflated tire has the most curvature and therefore the least. And more contact means more friction/grip as shown with wide tires at a drag strip.
However, a friend of mine who moved up from QM before I did, said that with the larger kids (because of drastic increases in body roll), we had to leave the suspension (most people tried going from 120 up to 200 gradually in spring rates) and lower the pressure from what was typically 20-30 PSI down to about 10-12 and he said it would start with a decent amount of grip and stay more consistent than the stiffer car because the stiffer car slid more. Obviously burnouts are just sliding tires create lots of heat. I know for a fact that the friction of the tire sliding sideways and/or spinouts cause lots of heat and the car would just got tighter and tighter until it eventually start biking. So my point is that the car sliding on over inflated tires ends up creating a lot more friction/heat and what the car does with it depends on the car and tire compounds. Some compounds get really sticky and others just begin to melt. That's why QM would always start to bike (

hilarious moments). And others got really loose. And somehow tire buildup could be tacked on but I can't really explain that other than how it builds up and it's effect on cold restarts.
P.S. - Jav, I'm not arguing for of against the tire model any more, I'm just talking out conceptual physics and examples and seeing if it makes sense to others to apply to the model....