This is all speculation but IMO it seems that miss cues with a smaller tip are simply flaws in stroke (or tip grooming) and more english with smaller tips is psycological.
If the radius is the same for all tip diameters tested it seems that the contact area between tip and CB is the same. I think the difference is, with a smaller tip is that it's easier to see exactly where the tip will (should) land on the CB but when aiming for extreme english it's a double edge sword. You may know where to hit the CB but since you're now swinging a more accurate tip size you need a more accurate stroke. A larger tip gives you more room for error against miscueing. But with an extremely accurate stroke you will be able to apply the same amount of english with a 13mm as a 10mm tip given the same radius. The advantage with slightly small than 13 mm tips is being better able to pinpoint or see where the tip lands. If we all had a perfect stroke all we would need is a tip size equal to whatever the contact diameter between tip and CB is. Maybe 2 mm? Just think how perfect we could be if we could control that!!
If the radius is the same for all tip diameters tested it seems that the contact area between tip and CB is the same. I think the difference is, with a smaller tip is that it's easier to see exactly where the tip will (should) land on the CB but when aiming for extreme english it's a double edge sword. You may know where to hit the CB but since you're now swinging a more accurate tip size you need a more accurate stroke. A larger tip gives you more room for error against miscueing. But with an extremely accurate stroke you will be able to apply the same amount of english with a 13mm as a 10mm tip given the same radius. The advantage with slightly small than 13 mm tips is being better able to pinpoint or see where the tip lands. If we all had a perfect stroke all we would need is a tip size equal to whatever the contact diameter between tip and CB is. Maybe 2 mm? Just think how perfect we could be if we could control that!!