Ability drops in packs

I've invested about a thousand hours in the game and have spent tens of millions on various Sticker Packs and there has been no pattern to any of randomly determined sequences, although it is certainly human nature to try to assign a pattern to what is actually a random sequence of events

Most likely what you are observing is just a random sequence which seems to form a pattern; such as when you toss a coin and receive "Heads" multiple times in a row.

There's a mindset which can creep in here which is called the "Gambler's Fallacy", in which the observer assumes that because a random event keeps repeating future behavior must act to "balance" out the results; there is also the "Inverse Gambler's Fallacy" in which the observer assumes that because a random event keeps repeating it will somehow continue to repeat because some higher power has decided to favor it.

The Gamblers Fallacy is also called the "Monte Carlo Fallacy" after a notorious event which occurred in a Monte Carlo casino in the early 1900's where a roulette wheel stopped on black more than two dozen times in a row through simple random chance leading to gamblers losing record amounts of money by repeatedly betting on red believing that the the more black outcomes happened the more a red outcome was "due".