I have one that is indeed silly, but pretty long-winded:
Enrico Pucci's master plan consists of him performing an ACE exploit on the world he lives in, not unlike how one would perform an ACE exploit in a video game.
That's why it involves such seemingly inexplicable, yet specific steps such as reciting the 14 phrases and harnessing the souls of exactly 36 "sinners". ACE and other obscure, but potent glitches in video games tend to involve similar oddities that don't make sense to anyone that isn't intimately familiar with technical aspects of the game (and considering that Pucci is knowledgeable enough to monologue about probably obscure facts like fate and the eternal recurrence of the JoJo's Bizarre Adventure universe, he's likely to have that kind of familiarity with the inner workings of his universe), and the end result of Pucci's plan succeeding warps the universe on a scale that ACE is sometimes used for.
The 14 phrases in particular bear a notable resemblance to some Pokémon exploits I've seen that rely on manipulating text fields. Neither results in a message with any clear meaning, but the messages nevertheless have very significant effects.
There's another, more reasonable explanation for Pucci's 14 words that I've accepted, but it's nowhere near as outlandish and can't be used as a justification to joke about Pucci being a better gamer than Kakyoin.