Depends on how the motor is transported, tilted up or in normal position. In normal position I would not worry about it. The forces on the motor/transom in normal operation are way more than any it would experience when towing. My Honda BF90D mount has two trim rams and one tilt ram.
If the motor is tilted up, but still on the trim rams, I wouldn't worry about it (see above).
If the motor is tilted up off the trim rams, then you might want to do something. The tilt ram is not meant to carry as much force as the trim rams.
In my case I tilt the motor up because the clearance of the engine skeg to the ground is only a couple of inches when the motor is in the normal position. I tilt the motor up and put a piece of 2x3" in between the moving parts of the mount at the top of the transom. Then I lower the tilt until the wood is trapped in the mechanism. Works great.
A couple of things to think about with a transom saver. If the saver is attached to the trailer frame (then to the engine) you will be transferring any road shocks more directly to the engine. If the boat shifts or bounces on the trailer, the transom saver could interfere with the free movement of the engine as the boat shifts.
Some motor mounts (usually for smaller engines) are designed to let the motor tilt up if the motor hits something when the boat is moving forward. If the motor is restrained and you hit something the motor may not be able to move and might sustain more damage (granted this is not that likely when towing, but it depends on how low the motor sits).