I don't think anyone serious in the Elixir community ever said "you don't get bugs". Maybe you do get fewer bugs as a result of immutability and pattern matching features, but "no bugs" is definitely not a promise I've ever heard.
The thing you DO hear a lot, though, is that you don't need to worry about bugs nearly as much as you do in other languages. But that's not because Elixir is "magic", rather, it comes from Elixir's runtime (Erlang/BEAM) providing best-in-class fault tolerance primitives like lightweight process isolation and supervision trees.
In practice that means the blast radius of bugs is generally tiny and any resulting crashed processes are often recoverable. The phrase you often hear is "let it crash", since the effort that goes into exhaustive defensive programming is usually more costly than the bugs you'd be trying to prevent.