Probably you would see some benefit if you are running large aggressive tires. These tend to be a bit more grabby. The stabilizer damps the shimmy and oscillating vibration. Same as on a motorcycle it keeps the steering from rapid swings i.e. tank slapper or underwear filler. It would also help to minimize unwanted steering feedback when hitting obstacles off-roading although I don't believe this is a problem with our VX's.
I had a Ducati that I modified the adjustable steering damper on with heavier oil to noticeably increase the damping. It made for heavier steering but I liked it that way for the street. You didn't have to fight it but you could feel the resistance.
Scott