Yes, it would matter. If it rolls over the roof and continues onto the side, it would likely support the truck (as did Wrench's), but may not if previously rolled. Personally Phil, I do not care what YOU do.
Wrench rolled his 80 when wheeling it. Replaced the roof and had an internal cage fabbed up for it. Search for some of his older threads - think it was rolled about 2 yrs ago.
I would not wheel it after it was rolled unless it had a solid cage.