I have no idea how they work on the consoles, but they shouldn't differ from the PC. Here's my current experience with the diagrams and readouts:
View attachment 675840
1) This is the cold pressure you set.
2) Readout of pre-warmed temps and matching pressures. Kinda confusing though, since they will only updates when you change anything in the setup. Also, the pressures will start from the cold ones you set, while the temps will start from fixed pre-warmed temps and slowly change depending on the actual environmental conditions on the track.
For example, the temps started from around 55 degrees for me when I entered the setup screen, but fell and stabilized around these values due to the cold conditions I assume. The pressures started at the cold ones I set and slowly climbed to these values.
3) These are the live pressure and temp readouts I mentioned, what you can expect when starting to drive in the event. I assume the temps are lower compared to #2 (judging by the colors) since they will fall considerably without tire warmers.
So, except for the pressure values you set, the readouts are hot pressures, although in the case of the readouts at #2, they will need a bit of time to actualize.
Keep in mind that all these values can still change after a few laps while driving, based on the conditions on track. How aggressively you drive will also affect how the temps and pressures will change.