When talking of regulator break-in, generally we are talking about the valve seat wearing in so it seals more promptly and consistently. Ideally, both sides are perfectly flat and smooth but in practice many will have minor surface imperfections. One side of the valve seat is usually metal and the other side plastic. After cycling open and closed a number of times, the plastic side will become "ironed in" with the profile of the metal side which helps them form a better seal as they come together.
How long it takes for that to happen depends on a number of factors, chief among them:
1. surface quality of the mating surfaces - machining marks, scratches, dings, etc. will impede its ability to seal
2. geometry of the valve seat - a narrow sealing ring focuses the pressure and helps it seal, but may also lead to quicker wear depending on the nature of how the parts fit
3. hardness / toughness of the plastic - a softer plastic will break in sooner but will not last as long over the long haul
The term "regulator creep" deals with how a defective valve seat comes together and almost seals, but has small imperfections that allow air to slowly seep through until the output pressure builds high enough to fully squeeze the valve seat together. I've fixed a number of creepers by smoothing the surfaces. Not only does it remedy pressure creep, but dressing the metal side helps the plastic side last longer. Even the $15 paintball regulators from Aliexpress can be made to perform well if you don't mind the effort.