"Pitch sensitivity" is not the right term. Sensitivity, meaning a little movement of the elevator stick causes a big pitch change, is definitely caused by a rearward CG. However too much pitch change in reaction to THROTTLE is a result of a CG too far forward.
Also, I definitely notice that having the CG too far forward makes for hotter landings. There is no reason to move the CG farther forward than what the manufacturer of a trainer recommends. People keep reading "forward CG flies badly, rearward CG flies once" and some get so afraid of a rearward CG that they overcompensate and balance too far forward. The correct CG is better than either too forward or too rearward.