Effects of CG on cruise speed

Hello All,
Does anyone know if the location of the CG effects the cruise speed in
something like a Skyhawk of Skylane? In other words, given the same
weight, will the cruise speed at 75% power be higher or lower if the CG
is moved from near its forward limit towards its aft limit.

I think the aft CG will result in a higher cruise speed because the arm
between the center of lift and CG will be reduced (assuming CL is
behind the CG) and the tail will have to do less work.

Any ideas?