What is that retro-looking thing on the right?

Hurst lightning rods shifter in an Oldsmobile. They are for drag racing.

The only time I have seen them changed is on a chassis cab, the up fitter will add a new sticker.

Chances are even if you change your rim & tire combo on a passenger vehicle the pressures will still be the same. They are based of the weight of the vehicle and the load capacity. Maybe if you do something real crazy it would change but going from 17" to 18" won’t effect it.