The addiction definitely lingers, the nullification probably not (unless developed as a more advanced ability later as Xavier or Rogue hint at during the intro) because otherwise we would've seen Kitty run into a wall by now.But seriously, if we're talking about how telekinesis would work, then how the firetruck does Zero's power work anyway.
Clearly at some point it went past touch and can use it at a distance, either that or it has a lingering effect.
As for how the power itself works, that can actually be explained pretty easily depending on the premise of mutant powers in general. It doesn't even need to violate fundamental conservation laws or anything, just mess up whatever other mutants use to connect their consciousness to the source of their powers.
I don't know whether the official canon ever attempted to give more detailed explanations though.