My boat has a top bearing in the cockpit
, and a lower (skeg hung) pintle/gudgeon that supports it. I do not have any bushings in the rudder tube, and other's may not as well. If it is a spade rudder (not skeg-hung) it likely does.
I would agree with the poster who said to go over the side and check for play in the rudder. Have someone hold the wheel
tight while you try to tug the rudder back and forth, forward and aft. Would be much easier to check on land, but if you can feel alot of play in the rudder / bushings, I would be concerned.