When at home and at the campground, I put the greased end of the bars inside two ziplock bags and slide them into the front storage compartment under the front dinette seat.
The hitch head sits on my large workbench in my shop (at home) so it's off the ground and dry.
When at the campground and set up, I usually have enough of my wooden blocks and cribbing deployed under the tires, tongue and crank down jack that there is enough room to store both the bars and hitch head inside the storage compartment where they are locked up and dry.
For me, it's got nothing to do with cosmetic appearance preservation and more to keep them dry, free of rust and dirt (especially on the greased surfaces) and most importantly a theft deterrent.