Pressure is easy enough to conceptualize with your own car as a reference point.
Let's say you have a Renault Clio with manufacturer recommended tire pressures of 28 psi. If you let air out until they're at 10 psi... is your car now going to handle like a Ferrari F430 and have tons of "grip"? No. It will drive like junk because the tires don't have enough structure to support and work with the load on them.
No different for a race car. If it were as simple as less air = more footprint area = more grip = faster, then all the cars would line up on the grid with nearly flat tires. As with many things in life, there's a balance point of how much air works best for what you're asking of the tires.
Now consider we know that how much load is put on the tires factors into how much air they need. Given how much downforce a F1 car generates, the amount of load - and "best" tire pressure - might be different between T1 and T3, and T8. Which corner do you think is most important? How much downforce do you think you're making? How accurate is your lap simulation as far as how fast you're going to be going in general? Huge question marks there.
Then even if you have a perfect prediction of your speeds and loads, there's the question of tire data. How much does data does Pirelli supply to the teams? Maybe a lot, maybe a little, maybe crap all. We don't know. How good is the data? Maybe it's great, maybe it's junk. We don't know.
All of this leads to uncertainty and grey area. Maybe Ferrari would go faster if they dropped 1 psi. Maybe they go faster if they ADDED 1 psi. Maybe that whole temp / pressure sheet is BS, filled out with nonsense and tossed carelessly for someone else to find (it's been known to happen before).
Temperature is no amount less complicated. Moreso IMO. "Optimum" temperature... I hate the phrase with a passion. Optimum? Optimum for what? Speed over one lap? 10 laps? Maybe heat is your friend, maybe it's your enemy. Does Pirelli know what the "best" temperature is for each of its compounds? I'd say probably not, or certainly not to the degree of precision that many assume. Once you start digging into rubber/track tribology you might find that the "best" temperature for rubber on one type of asphalt is different than another. Even if "hot" gives you lots of limit "grip" it might make the thing feel too soft and "greasy" and slow you down because it's rubbish to drive.
Hope that's helped make things crystal clear
Grip is a four letter word. All opinions are my own and not those of current or previous employers.