With a pyramid bow there is little to no thickness taper as the taper is along the length of the limb. So I would consider side tillering
and its possible that the limbs are not truly the same width and taper and the stiff limb has more width and hence is stiffer.
Depending on the draw weight and length your going for 2" wide at the fades may be overkill, look into badgers mass theory
it is a useful tool. Also you didn't mention how far along the tillering is, is it braced yet? and if so how far have you tillered it too?
One more thing closely monitor the set each limb is taking and where in the limb its being taken, this can provide an important clue as
to what is really taking place. Good Luck eh