about as much difference in mpg as the mileage difference with a passenger or not when driving empty.
I have a 7x14 ft cargo trailer, 5,000lbs and a 34ft TT almost 10K lbs with a much larger frontal area than the cargo trailer.
I get 10-12 mpg pulling the TT, and 11-14 pulling the cargo trailer.
that's with a 5,000lb difference and maybe 50 percent difference in frontal area.
from physics, at a constant speed on level ground weight difference is almost a non issue, you aren't doing any work moving the mass at a constant speed on level ground. it's the wind resistance that dominates, it's a square law function, next is tire contact friction which is a linear function.
weight will have an effect when starting and stopping, changing speed, going up a hill, then you are doing work.