Firstly I will admit I do not understand the cause of rotational frame dragging.

https://en.m.wikipedia.org/wiki/Frame-dragging

In order to better understand the mechanism, I would like to know if frame dragging applies to linear motion too.

Image an infinite cable made of neutron star matter. A gyroscope is orbiting the cable on a stable orbit, pointing perpendicular to the cable length. Now I start to pull the cable along its length axis. Would the gyroscope start to precess due to distortion of the space along the cable?

In general, what causes frame dragging? To me it looks like unsubstantiated analogy with friction.