Not sure where your information comes from but, a tire flexing does NOT increase the contact patch area. Contact patch is a design of the tire and related to the wheel width. Every tire has recommended mounting width with +/- dimensions. Some tires have a full tread width compared to less expensive tires that save manufacturing costs.
Tires have a designed flex built in and with the proper load and air pressure you minimize the “jounce” ( the flex in the sidewall).
Contact patch does not have a single dimension, as in width. Length is also in play. An over inflated tire for the load with have a decreased contact patch, which will decrease braking ability.
Additional I have long believed that the A/S type tread that has been standard fair for most ST maypops contributes to ply separations, as the A/S tread style grips the payment to much in tight maneuvers. You will notice that the XPS Rib, R250, G614 and S637 all have outer ribs without breaks in the ribs.
Dunlop long haul trailer tire.
16" R250 on my SOB 5th wheel.
I ran XPS ribs for 6.5 years and R250's were on the trailer for 4 years when I sold it.
Chris