Yea, the KingCat has the same type of system. We noticed this as a problem when we set our failsafe to full right rudder and gear down (a safety requirement for flying these planes that belong to NASA - I don't have my planes setup that way). When we tested the failsafe, the rudder would go to full deflection while the gear was in transit, and the nose gear steering would disconnect as you have seen. Then when you tried to retract the gear a second time, the nose gear would get turned 90 degrees and you'd have a real mess. We fixed this by changing the failsafe to rudder straight, but right aileron to give us the required spiral on failsafe.

The point of the above paragraph is that you can in fact make the situation you noticed happen if you try. However, that being said, we run gyros on the nose gear of the KingCats too, and we have NEVER had a problem with the nose gear steering becoming disengaged in normal flying. Remember, most jet guys drop the gear on low-speed a downwind pass that is either followed by an official "gear pass" upwind to verify that the gear is down, or the real upwind landing approach. During the downwind pass where the gear cycles, you're typically not using the rudder and the gyro's authority, coupled with the plane's normal stability, means that the gyro-induced rudder movements are small enough that the steering yoke will engage OK.

We also have a BVM T-33 set up this way and it works fine too. Set it up as per the BVM directions and go fly it. You'll be OK