[Scarblac]

Yes, it does.

You had a 1/1000 chance of picking the right door at once.

Monty had a 1/1000 chance of opening only empty doors.

He had a 998/1000 chance of opening a door to a car, but that didn't happen.

So it's either of the other two cases, with equal probabilities.

If he used his knowledge to never open a car, the 998/1000 case wouldn't exist, and there would be a 999/1000 chance that the door he left unopened had the car.