Again, I am not a physicist, but this doesn't make sense when viewed from your position that the contact patch on a squared off tire is larger... I am happy to learn here, and I am presenting a few items that I don't understand in hopes of getting an explanation. I would hate to keep presenting false statements.

How is deformation measured to make this true? The only reasonable measurement I can imagine for deformation is contact patch size. How is deformation actually measured?

How does a bicycle tire not follow the general rule that the contact patch times pressure is equal to the weight being supported?

BTW starting with your assumption at zero deformation doesn't seem valid in explaining what happens in the real world. I could easily prove that heavier riders don't descend faster than lighter riders by presenting theoreticals about what happens in a vacuum... and then showing that as wind speed increases the forces, it has the same effect on the rider regardless of body weight... but the real world evidence proves otherwise.