I've rolled mine with the little lantern hangers still in the groove, no problem. But it left indentations in the awning material, so I didn't do that again. As long as you're not adding a lot of extra weight, I don't see why it would be a strain on the motor, which winds up so slowly with just the awning anyway.
2019 Rockwood Geo Pro G19FD w/off road package
2015 Ford F150 XLT Super Cab 4x4 V8