That stabilizer is shock damper device.
it's purpose is but 1. (mostly) but here it is:
if say a tire hits rock or a RUT offroad, the steering wheel is not snapped out of your hands. (ask a motorcycle this, for off road ,
on on flat paved road it does nothing, (one exception last)
it is connected to the left .right main tie rod and prevents violent actions there to the left or to the right.
last: if a tire is out of balance this condition can be in the threaded end of tire, or on this side walls.
if most of the tires imbalance is on the side walls (all of it) it sure can shake the heck out of any tie rod, think about that.?
easy to visualize if you try.
out of balance tires can shake up or down or left and right and all points in between../ ask your tire man to show you that.
if the car has manual steering it is even worse. all of this. (L to R forces)