The hydrostatic pressure is still a small part of the pressure of the tire. It is approximately 1/2# per foot of altitude as you said (.433) but if I am going to pump my drive tires to 18 or so #'s and my tires are 1/2 or so full, being 3' roughly as you said (1 to 1.5#), Then for 18# fill it is only give or take 5-8% of the pressure and for 20 or more #, less than that. So what is the point of this? We already covered this ground.
But the hydrostatic pressure is just the potential energy (potential work function) of the water on/at the ground, amount in psig as you said, as a result of how far up the tire you want to measure it. If you completely filled the tire with water (liquid) they would only register a couple of # of hydro press. and ride like concrete as water cannot be compressed as air can.
Like if you have a community water well and a 100' stand pipe, at the bottom of the tank you could plumb a faucet and have 43.3 psig static pressure available till the water in the tank starts to drop. The actual weight of the water is not considered in this calculation.
Like on one of my tractors I have 55 gallons of liquid in each tire weighing about 413 # dead weight, but that's not what the tires are pressurized to.
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