I installed 4 different Covers on one block and tested all the rotation options.
When the ship turns 90 to the left, the Covers turn 90 to the right and are rotated 180 in relation to the ship. When the ship turns 90 to the right, the Covers turn 90 to the left and are rotated 180 in relation to the ship. When the ship turns 180 the covers turn as they should.
I also found a new problem - GT6 Fire Bricks become invisible after jumping. If it had Covers on it, then they also become invisible. When I try to go through it, instead of stopping, it shakes forward/backward. I can’t put things in this place, but I can put things through this. Fire Bricks return to normal after a map reload or if you move too far and come back.