i would suspect it is all aerodynamics that effects the mileage, the weight difference shouldn't effect much more then the fuel used on acceleration, if a couple extra hundred pounds hurt things that much everybody that put on a toolbox and winch bumper would loose about the same
a lesson on aerodynamics comes from a few hundred mile trip on flatland i took to pick a about a 3200# car with a borrowed trailer, big 8 lug double axle that had nearly a full sheet of plywood on the front standing straight up as a crap blocker, thing pulled empty like a parachute, i loaded the car backwards and butted it right up to the shield to at least kill the vacuum behind it, this was good for 2 mpg better on the return despite the extra ton and a half of metal