I can offer a bit of help here...
The Kia recommended tire pressure printed on the door jamb sticker is only a guideline.
Kia chose these pressures to reach specific targets for ride/handling/mpg/steering feel/grip/stability/tire wear/NVH (Noise, Vibration, and Harshness)/pothole resistance/and load capacity. You can adjust this pressure as you see fit, as long as you understand what changes and the consequences/benefits of those changes.
Kia seems to be a bit aggressive (high) on the Stingers tire pressure. This boosted fuel economy, steering response and reduced damage from potholes. The downside is that you may very well find the center of your tires contact patches wearing a bit prematurely and road texture and noise come through a bit more clearly than they would with a lower pressure.
That being said, for the purposes of answering the topic here, let’s assume we want to stay with the Kia specs and move to a different size or construction of tire. 36 psi in one tire does not behave the same as 36 psi in a dissimilar tire.
To get the new “KIA” recommended tire pressure for your new tire, you need to know several things.
You need to know the tires construction (standard load or xtra load).
You also need to know the stock Kia recommended psi setting.
Find too, the tires load index.
You need these 3 things from the stock tire. They will help you calculate the load capability of the stock tire.
I am going to attach a chart for you that will help you derive the new tires pressure from the stock tire.
Basically, you want the tires load handling to be the same, or close, between the new tire and old tire.
Be aware that some tires are standard load (SL) and others are extra load (XL).
XL tires require less psi for the same dynamics a SL tire.
My RWD GT2 stock rear tire is a 255/35/19 XL 96Y and Kia recommends 36psi for it.
Meaning Kia has specified 1379lbs of load capacity for that particular tire.
If I upgrade to a 265/30/20 XL 94Y tire, it will need to be set to around 38.4 PSI to have the same load carrying capability of 1379lbs. If I just aired this new size up to the Kia specified 36psi, I would be decreasing its load capacity to 1302lbs. This is quite a significant drop in terms of deviance from the characteristics Kia chose with the stock pressure in mind. 36psi on the new tire size would be equivalent to running the stock tire at about 33.8psi. Quite a drop.
Use the attached chart to make your conversions. If you want to keep the Kia specified trade offs and benefits mix, you will need to adjust your pressures to suit your new tire.
Also keep in mind that tires have a range they can operate in and you can tailor that to your specific use and demands too.
If you need more help with your specific tire, let me know what tire and size you have selected and I’ll help you calculate the new “Kia equivalent” psi for it.