Number 9 in the illustration. Yes looks like a shock absorber. Cost 130 to 200 at the stealership
Usually off road (4x4) trucks have them but I guess lexus wanted less vibration to get to the steering wheel. It also helps in better tracking during highway driving so you do not have to correct so often
From Monroe website
Your vehicle�s steering damper is that hydraulic device that is quite similar to a shock absorber and is attached to the steering linkage to basically absorb the road shock and the steering kickback. This performance part is an important component of your auto if you really care about vehicle handling and ease of ride. The steering dampers act as shock absorbers and are specially created to operate horizontally. And acting horizontally, the steering dampers or the stabilizers can reduce vibrations that travel through the steering system to the driver.
The end result can be an increased control, an improved safety, and a reduced driver fatigue. The steering damper is usually installed between the main movable component of the vehicle steering system and its frame. The Monroe Steering Stabilizer Cylinder will deliver a smoother operation no matter what the temperature is. This performance part will also increases control, and this uses stronger materials for a reliable and much longer service.