That max pressure is cold inflation pressure. What is listed on the sticker in your car is also cold inflation pressure. Your tires will increase in pressure as they warm up (less if you use nitrogen to fill the tires...).
I typically gain about 2-3 psi according to the evic as the tires warm up. I see a gain of 5 on hot summer days or on the slicks during an autocross (different car). And all my vehicles I usually run about 3 psi over the manufacturer's recommendation. Doing this I typically get a little better mileage, if I drive "normal", and better handling at the expense of tire longevity.
Tires should be replaced every 3 or 4 years anyway, regardless of mileage or remaining tread depth.
07 Limited, Hemi, factory skid plates (dented and scratched
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), 4XGuard rock rails, OME HD springs and shocks, Spidertrax, Goodyear Dura Trac 245/70-17