Not wireless
It would be a little narratively weird to reveal Bernard as the secret mastermind running the Silo, only for there to be a different cabal behind him.
I’m a little skeptical that the show wants to make a magic memory potion to the solution to many of the mysteries. If they wanted to go there I think they’d have used (or foreshadowed the use) of it in season one and judicial would threaten it as a punishment.
This might be totally off base, but when you have low tech sci-fi it’s easier to make problems dramatically interesting. If, for example, it ends up there’s an AI running the place or Bernard is actually 400 years old and he’s a whiskey swilling cyborg then it lessens the stakes.
I’m avoiding Wikipedia for fear of book spoilers, but I think Silo is a revolution parable examined through science fiction, maybe a little like The Moon is a Harsh Mistress (which did have an AI now that I think of it).