A couple of comments:
"Actually the load capacity of the tire is a function of its size and design."
AND inflation pressure. There is a load curve for every tire size and it depends on inflation pressure. What is written on the sidewall is the maximum load from that curve. Use a lower inflation pressure and the load capacity is reduced. BTW, the pressure written on the sidewall is not always the pressure where the maximum load capacity occurs. Frequently the pressure written on the sidewall is the maximum safe pressure, so I caution folks who use what is written on the sidewall as a guide as that figure has more to do with how a regulation is interpreted than how the tire is constructed.
The problem with using chalk, or wet footprint tracks or pyrometers to set tire pressures is that it is only applicable for the way the condition of the vehicle at the moment the test is conducted (load, suspension settings, etc) and only deals with the footprint. Change the conditions and the test results will be different.
But there is another aspect that is completely discounted when using these methods - durability. Tire manufacturers design their tires to use the load curve (as mentioned above) to test for durability. So using a pressure that is too low may cause the tire to fail due to overloading. Since there is so much more to setting pressures for durability than just the static load, the vehicle manufacturers are required by law to place their pressure specification on the placard. It would be foolish to ignore this as they've spent a lot of time and effort testing the vehicle at this pressure.
Another consideration is that most tire wear occurs in the cornering mode, so any test that doesn't look at cornering conditions has a built-in deficiency.
Besides, there are a number of items that can affect the results of these tests that are independent of durability, such as rim width, camber, etc. and you may get results that compromise the durability.
My advice would be that if you want to conduct tests to set the inflation pressure - fine, just use the placard pressure as a lower limit. The results of overloaded tire failures can be pretty tragic.