I appreciate the link but I wouldn't say it's good info at all. Nearly every image of a contact patch that I have seen shows a patch with straight sides; in other words, the width of the tire limits the width of the patch. This indicates that the vertical stiffness of the sidewall plays a role in the pressure under the contact patch and a simple air-pressure-based approximation is not accurate. Look at Figure 4 on
this page.
But of course, one image does not prove a point and I think that the truth is somewhere between the extremes. I agree with Ken to the extent that the majority of weight carried by a contact patch is likely dominated by its compliant center section, which means that changing the tire size will not change the contact patch with a direct relationship to the size of the change in tire size. I just want to point out that it is entirely unlikely that the patch only changes in shape; in fact, there is good reason to suspect that the patch does change in size too. When increasing the width of a tire, I would expect the patch area to increase to a certain degree because a smaller fraction of the load will be carried by the sidewall.
Edit: I noticed another statement in your linked article that raises a question with me. It reads, "If other vehicular factors remain constant, increasing a tire’s overall circumference is the only way to enlarge the contact patch." But if the assumptions regarding force balance made earlier in the article are true, then how is increasing circumference any different than increasing width? In fact, for an infinitely compliant tire as suggested by the simple p*A=F balance, nothing you can do to the shape of the tire makes a difference to the size of the contact patch for a given pressure.