Ok... Its comparable to stopping two disks that have the same mass when one is say 10" in diameter and the other is say 36" in diameter (these measurements are exaggerated to demonstrate with less pinching force, but with the forces a brake caliper can exert a difference of just 30mm can make a huge improvement) if both the disks are spinning at the same speed and you tried to slow them as much as possible by pinching them between two fingers without completely stopping them, it would be a lot easier to slow the bigger disk and control its speed than the small one.
With braking, the most efficient braking action is with the wheel nearly locking but not quite this is much easier to achieve with a bigger disk than a small one, with the smaller disk the rise in force between pad contact and the wheel locking up is a very short steep line and bringing in the wheel to the point of almost locking up but not actually locking is difficult, with a bigger disk the rise in force between pad contact and the wheel locking up is a longer and less steep line so bringing the wheel to almost locking up without locking is much easier.
Although the bigger diameter disc has the benefit of greater leverage, the leverage increase is not what makes the brake perform better, if you can make the small disc lock up then it already has plenty of leverage, but it seriously lacks what they call brake modulation or control and goes from say 70% to lock in a very short distance of extra force applied.
Is that any clearer?