Let's say that Gungho is doing the right thing
and they do indeed use a sort of lottery system to decide who pulls what during certain godfests...is the best comparison the "lottery" in the Pokemon series? Where there is some random code generated that applies to your personal ID?
I am not a math wiz at ALL so bare with this example.
Say that there is some sort of formula, where N is a portion of your ID, and on their end the number X is generated. Your personal luck for the day could be tied to falling within a certain range of X. So if your ID has the numbers 1234 in it, and the number generated for X is 1345, if you fall within 500-1000 numbers generated for X, it determines the max number of rare pulls you are allocated for that timeframe. Be it 0 or whatever their max is set at. The number X could be set to change periodically through out the day, which leads to users believing that they have better luck during certain times of the day because the number does indeed change hourly.
Additional note: I am not on drugs.