I tested the same landing gear shown above using parts aligned with the cardinal axes. The parts now appear extend as I want them to.  I haven't tried the the other, more rotated assemblies, but they should follow as well.

I am still having a problem with some simpler parts.  These are single-part sliding doors.  The reallignment didn't work for these.  No matter how I rotate them, the movement is along the cardinal axis.  Apparently, the parent must be rotated to get the right movement.  These are parented to the top-level figure which I cannot rotate.

Still, more thoughts on this movement for both kinds of parts will be useful.

 

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