I've heard similar things in the past, and I just can't wrap my head around it. In my mind, it goes like this - say the charge used in the virgin brass is 20gr. Fire the round, you gain a slight amount of volume in the case due to the shoulders being formed to your chamber. To increase the pressure and velocity upon the 2nd loading of the case, in my head, one should need to increase the powder charge, maybe to 20.2gr, to make up for the slight increase in case volume.
From what I've read, it doesn't work this way, and I have no way to determine actual case pressures.
I can only tell you that in my hands, the charge weight necessary to maintain the original velocity of a load in virgin brass once it has been fire-formed is always slightly
lower than it was in virgin brass. Yes, the case volume increases slightly upon fire-forming. However, if you play around with case volume inputs in a reloading program such as QuickLoad or GRT, the predictions are that relatively minor changes in case volume don't have a
huge effect on velocity. The effect will obviously not be zero, but it isn't huge either. Obviously, the more generous the chamber specs, the larger the difference in case volume before/after fire-forming, thus a greater potential effect on charge weight and velocity in subsequent firings.
It is clear that a certain amount of energy that derives from combustion of the powder must go into expanding the brass to fit the chamber, rather than pushing the bullet; i.e. increasing velocity. Whether that is the
sole reason it seems to take slightly less powder in fire-formed brass to obtain the same velocity as with virgin brass, I can't state with any certainty. I could imagine there could be other contributing factors. For example, how quickly/well the neck seals to the chamber during the initial stages of ignition could vary between virgin and fire-formed brass. The good news is that we really don't
have to understand the exact mechanism by which this might occur (even though many of us reloaders would like to), because the effect of fire-forming brass on charge weight and velocity can be tested with a relatively minor effort.