of course --
The work the wing has to do increases-so a greater "loading".
The reason the load increased tho -is due to the efficiency of the load distribution.
The actual static weight has not changed.
I looked at the original statement about "wing loading increases with forward shift of CG" as simply a description of forces changing --because the efficiency of the airframe has changed ( it decreased in efficiency).
I have no problem figuring out best C/G trade offs in getting performance I am after using this approach.
IF--Less download is needed on tailplane, the drag of the craft is reduced
If there is less drag - LIFT required is reduced
If less lift is required there is pressure difference required on wing AND /OR less speed required