Rear Stabilizer Link Issue - Anyone ???

I have a 2001 Prism with 95K miles - with brand new tires and recent alignment. The struts are good - no noise and there's no excess bounce at all. Someone says my Rear Stabilizer Links could be bad. Sometimes the car wants to move from "side to side" - especially when running on road with grooves in the pavement that are parallel to the road (not across it).

Has anyone had any symptoms like this ???