There are 3 pressures all but guaranteed to be wrong. IN the OP's case they are
80 PSI (The sticker) 120 PSI (The tires) and the pressure the tire store put in.
The proper pressure is kind of complex to figure out for many (Easy for me) but
You need wheel weights. Each wheel ideally (NOTE Duals are one wheel) Two ways to get this
Method one: A segmented scale. one axle per segment Total axle weight
Then pull on again but only one side on the scale NOTE this has to be a FLAT scale not a bridge type. Now you have weights on one end of the axle. subtract from total axle to get the other side.
Option two https://rvsafety.com/
Then click on the RV-Weighing tab on the right.
IN option 1 you download the tire inflatio chart from the tire manufacturer and work it out
In option 2 you tell them what tires you have, and they show up with the proper chart in hand. They figure it out for you and provide some basic education.
..
Why is proper inflation important?
Well if the pressure is too low then sidewalls flex excessively, over heat and BANG. if you do not know how to control a vehicle with sudden tire failure you are dead.. In any case major damage may happen.
You also have reduced control
IF over inflated the tire wears only in the center. the Ride is rougher and again there is loss of control
Proper inflation means the tire life is maximized and so is control.