I know that many drivers do not believe it, but the fact is that, within engineering tolerances, the pressure on the ground is equal to the tire pressure.
The ONLY thing that causes them not to be exactly equal are any compression or tension forces that are carried by the tire sidewalls.
When you let air out of a tire, the contact patch enlarges to maintain the same force. Pressure times Area equals Force. In this case, the force is the weight carried by that tire.
I have had this discussion on at least one other forum and do not intend to debate it. You don't have to believe it, but that does not make it less true.
Loren