How is it irrelevant? Two posts have explained the physics behind why contact patch is largely dictated by load and pressure. You accuse us of throwing out theory without offering an explanation of why you believe contact patch size will change with the wider tire. All the while, throwing out a pretty simple physics theory that 2 people explained to you.
The balloon example was just to help visualize the concept we described. I'm well aware of some of the other factors such as sidewall, rubber, and belt stiffness that can contribute to the overall stiffness. But to varying degrees theses factors still exist on both tire sizes and the amount of load on them is small compared to the amount of stiffness added. How do we know this? If you delete the tire, it will crush the tire down flat. The exception will probably be run-flats.
I don't have a problem including experience. But you failed to offer any observation, data, analysis, or even a "theory" to substantiate your belief. And we're supposed to subscribe to your belief just because you say so? I'm so for having an productive discussion. But you're going to have to offer something more substantive than "because I said so."