I have had the opposite experience, when following a SRW pickup camper, I notice they are usually all over the road, and apparent wind gusts that move them, I don't seem to be able to feel or notice at all. Maybe my truck has some unsual stability charactistics.
I followed a DRW over 3600 miles loaded with the exact same Lance 1030 camper as I was in June and I knew EXACTLY when I was going to get hit with a crosswind - he moved over MORE than I ever did! My wife kept asking me why he was driving on the shoulder of the road.
Sure, the DRW has 33% more tire patch surface than the SRW, and 2 more tires on the rear. Some other things are equal - pivot point (side to side roll) - COG - overload springs. My anti-sway bars compensate for the tire patch surface - my truck does not sway going down the road in a crosswind no more than the DRW OR an 18 wheeler.
You must be in total denial, because that sounds like wishful thinking!