I really think I remember
that as long as the gyro has at least something like 75% of nominal revs, excessive precession forces to the cardanic ring bearings and gyroscope body bearings are not really an issue in additional wear to the thing.
Back in the old days (late eighties) in the Air Force as a -16 crew chief, I remember the machine being shut down in front of those shelters, attach the winch ropes to the main gear, and a bar to the nose gear, then winching the aircraft tail first into the shelter. (That took a couple of minutes to achieve) I'm sure that they were still equipped with conventional gyroplatforms instead of them ring state laser ones. It could well be possible that the Master switch remained on until fully parked, I don't remember that well
)