I don't think that's true. If a context contains a statement followed by something opposing that statement, that will confuse the model. So "actually wait, I really need to" is there to signal that the previous thinking may be flawed and that what follows is a new attempt.

It's good to remember that LLMs have no more state then what they can derive from the context up til any point. So if that context is hard to interpret, that will reduce effectiveness.