OK, well that just avoids answering the question I asked. In my scenario he doesn't lie and he does tell you which way you'll turn. If you don't like that variation, what about the one where you somehow manage to catch a sight of what he wrote before you make the turn?
You've missed my point. In some cases he
can't tell you in advance
without "lying" because telling you would change the outcome to other than what he tells you (a
self-defeating prophecy), making what would have been a true statement into a lie. We're only talking omniscience here, not omnipotence.
Sure, in cases where the same outcome occurs regardless of whether or not he tells you, he
can tell you. And if he wants to be a smartass there may be some situations where he can
cause an outcome to occur by telling you what the outcome will be (self-fulfilling prophecy).
But there will always be come circumstances where correctly telling you what's about to happen is logically impossible, because telling you would prevent it from happening (such as when you're annoyed at him for being infallible, and deliberately do the opposite of what he says you'll do just to make him wrong).
However, I'm assuming that this knowledge of future events is derived from
calculating what the future will be from the state of the present universe. If the situation you're describing is supposed to come from someone observing the events and traveling back in time, then the answer to your question is unknowable. (Of course, this doesn't stop people from simply making up whatever answer they find most appealing.)