If someone trials output pressures it would be interesting to see their results.
But in general it is:
Too low an output pressure and you won't get a decent shot, or an extremely low pressure won't cylcle.
A gun without a regulator needs the cylinders regulator within a set range, but a gun with a regulator can accept higher pressures.
If the cylinders output regulator matches the guns operating pressure then you can only shoot as quickly as the combination of both regualtors refresh each other. Therefore you ideally want to have more pressure ready to go, and the time between shots is then dependant on how quickly the guns regulator cycles and the 'chamber' is refreshed.
It does not matter how high the pressure waiting is, provided that it is not far too high at such a level that the regulator either fails and leaks or vents itself for safety.
e.g. When the Dye Dam was released with the original bolt, when using 'High pressure' cylinder regulators at the old school level of 800/850psi the Dam bolt system leaked air, or had to be adjusted right down and then couldn't get up to velocity.
Dye released a free updated bolt which could handle the excessive pressure.
Unless your guns regulator can't cope with the input pressure then it doesn't matter how much pressure is ready and waiting. There is no loss of efficiency other than the amount of air vented from the ASA when you disconnect.
1) Can you shoot at the velocity you require
2) If you fire off a burst or a constant rope of paint, can you sustain the rate of fire
Anything else is overthinking
If you fine tune so that the cylinder output is just enough to sustain fire on a specific gun, then that cylinder may not sustain fire on the next gun.