Puck lift or spring lift? The stock springs will seem harsher on a puck - changed the geometry without softening the rate.
If you reduce the max weight the tire sees - you reduce the PSi to carry that weight in the same ratio. Here's how the engineers (would) come up with your placard (cold) pressures (if using a load ranged tire instead of a load indexed tire). And do not bleed off the heat growth (glad to see you do check it though - its indicative of pressure min explained later)
That tire is a load range tire - 3195lbs at 65PSi. An Unlimited will put 1425 max weight on it (GVWR 5700/4).
3195-1425=1770 reduction in weight. 1770/3195=.55
65PSi reduced 55% is 29.25 PSi
Therefore your bare minimum PSI at 1425 is 30PSi.
Using curb weight (instead of GVWR) of 4300 lbs - its 1075 lbs @ 23PSi.
I use 1250 per tire when doing the math on my 4 door - hits right at 26.
SO there's your PSi range for that tire on your jeep. Find the PSi that balances ride to wear and stability. Usually mid way between the two - but ALWAYS go up to the PSi for GVWR when carrying a load at speeds over 55mph!
WHY is there a min PSi fort a maximum load (and why is the standard a cold PSi)? To balance heat dissipation. The lower the PSi the more heat the tire gains and retains. SO an underinflated tire will grow a larger percentage than a properly inflated tire. A tire could start at 20 and grow to 27, or start at 26 and grow to 29 (with far less treadwear and sidewall strain) on the same trip! This is what you see race teams doing when they pull a hot tire and start cleaning (to measure tread wear) and remeasure the circumference and temps - that way they know where to start PSi so that at the prime of the tires run - its right where they want it circumference and slip angle wise!
J Wm Bishop EA, ASADE
The world is made from rocks and mud. Maturity is knowing when to stop playing in the mud...