Verm, I need a rational explanation of that.
At 15k, at your top speed, lift will be greater than weight, so, to compensate, you'll need to trim your nose down. If you are lighter, you will need to compensate even more, so your trim tabs, or entire elevators will generate more drag than if you were heavier (less overcompensation needed to keep level flight).
Basically, heavier or lighter you are tending to climb and we are talking about level top speed, not climb rate.
Where am I wrong?