According to an email I received from Kurt Kinetic, lubricating the threads is part of normal maintenance. I had to do it because my KK Rock&Roll started making an awful sound. Lubricating the threads fixed this.
We're happy to hear that the trainer provides such great companionship on > those dark and cold evenings!
Below you'll find a basic trainer maintenance video that will address the squeaking noise that does not come from the elastomers.
<iframe width="640px" height="395px" src="https://www.youtube.com/embed/nj-NzjGatGs?start=0"></iframe>
In addition, please ensure that you're performing regular bike maintenance to eliminate any of other potential squeaking sources.