a couple of things here..... there are rubber mounting bushings between the generator/motor and the frame its mounted in, AND there are rubber feet on the generator frame that it sets on. all these rubber isolaters will normally isolate the generator WITHOUT a path to ground, so if there is ever a failure within the generating circuit, it can energize the exterior of the genset and the user WILL BECOME the path to ground when they touch it.
the grounding rod is supposed to insure that if there is a failure within the generator, it will not cause harm to the user.
contrary to the instructions, we all use our portable gensets without an exterior ground, but the potential for electric shock/electrocution, however remote and slim it might be, is still there.... the ground rod is supposed to eliminate it.
permanently installed gensets should ALWAYS be grounded.
a genset operating in the bed of a pickup is very little different than one setting and operating on the ground...
its a small liability issue, but in the odd chance that there is a problem, if the user didnt follow the instructions that were supplied by the manufacture in the use of the product, the manufacture is released from the liability of any damages... or until a larger, more expensive team of lawyers decide differently.