“In theory”, the area of the contact patch is found from weight divided by inflation pressure.  If the tire didn’t have sidewall, belt, and tread stiffness, then the tire size wouldn’t really matter much to contact patch at all.  Even when considering the effects of tire stiffness, the increased contact area effectively reduces contact pressure (below inflation pressure).  Of course the real word is much more complex than engineering simplification/theory and thus, size and shape does matter.

 

Perhaps another “limit” to aircraft breaking is a byproduct of the tricycle gear configuration.  Under hard braking, weight effectively shifts to the front (just like a car).  However, since our planes only have brakes on the rear (main gear), braking is sub-optimal.  Adding brakes to the front would (again in theory) probably double the braking capability and thus perhaps reduce roll out distance by 50%.  However, given the castering nose wheel, individual right/left pedals, and relatively high center of gravity, even thinking about front brakes seems silly.

 

… my 320 would have to use 17 inch tires  to even come close to the contact patch of my 'vette.