My friend's argument (dubious i would say) was that in the rulebook, it states that if any tokens are introduced into the game by a card, these tokens are to stay in effect.
That's a very good point, if treating the rules literally
But, the thing here is the context. His point is valid about the tokens that are introduced when an effect is triggered (e.g. Parasite, Gripper, Invisibility, Camcorders, etc.) - the token stays in play but a Malfunctioned action card will not generate a new one.
When we speak about tokens that are only there for informative reasons (like Crescent-shaped tokens, Hidden tokens or Creepers tokens) they are removed every time a card "generating" them Malfunctions.
So you were right here.