Yes, a worn strut rod bushing can cause the wheel to pivot back and forth a little.
Mine did the same thing. The problem with mine was at the lower control arm end of the strut rod. These bushings can be purchased at parts stores locally. TRW makes a good replacement. There is a front and back bushing for each side of the car at the lower control arm. The bushings at the other end of the strut rod can go too, but mine were ok. I am not sure if you have to get the fronts from a Dealer.
It should cost less than $15 per side for the two back bushings. The front ones are a lot more money. Ford wanted $45 per side.
Let us know if you need more info.
Mine did the same thing. The problem with mine was at the lower control arm end of the strut rod. These bushings can be purchased at parts stores locally. TRW makes a good replacement. There is a front and back bushing for each side of the car at the lower control arm. The bushings at the other end of the strut rod can go too, but mine were ok. I am not sure if you have to get the fronts from a Dealer.
It should cost less than $15 per side for the two back bushings. The front ones are a lot more money. Ford wanted $45 per side.
Let us know if you need more info.