A band saw's blade is a long steel loop held under real tension by the upper wheel, and leaving that tension on during a move stresses the tires and bearings for no reason. Releasing tension per the manual and padding the cast table matter most.
Pro tip: Mark the blade's tracking position with a strip of tape on the wheel before removing it, so retensioning and centering at the new shop goes faster.
Watch out: Never leave a band saw blade under full tension during a move; the sustained stress on the tires and bearings, plus the risk of a snapped blade under vibration, is not worth it.