I would think the opposite, in my experience Player 3 is more likely to have a monster and is thinking how to keep you in the hand. If he had a middle pair or AK, AQ he would probably move all in to get you out of the hand. If he is a good player he maybe trapping you into the pot with AA or KK

You can of course call with 9-9 as your pot odds are very good, but i would be looking to hit a set or be very cautious hoping to check it down with him.