Aye. Think of the extreme case, in which the constant is much larger than the difference between maximum and minimum faith. If the constant is C and the difference is dx, the difference in scaling between the 70-70 and 70-40 cases is
C^2 - C*(C-dx)^2 = 0
since C >> dx.
C^2 - C*(C-dx)^2 = 0
since C >> dx.