Again. six inches of pitch is six inches of pitch no matter if one prop is eleven inches long and the other is twelve inches long.
If the pitch is identical and both props are turned at the exact same RPM in the air, the speed will be the same.
There is no magic that changes the slip stream velocity off the twelve in prop versus the eleven inch prop, only a change of pitch can do that.
The larger prop will have more prop disc area and more static thrust than the smaller one but thrust does not equal velocity.
Phil, if you read what Brett wrote,, you would see this is not true,,
for me, the simplest reality is On my LA 25,, going from a 9x4 apc to a 10x4 apc,, the lap times dropped like 3 tenths,,
what you are saying is analogous to saying John Forces funny car will still do 4 second quarters if you take the slicks off,, and put on the same outer size, but narrower tires,, its about traction. The bigger diameter prop will get more "bite" in the air, and at the same rpm, it will fly faster even with the same pitch,,
now, keep in mind,, prop airfoil, blade planform shape, undercamber, all kinds of things contribute to affect this as well,, however ghoing from the 9x4 to a 10 x 4,, both APC, and both appear the same except for diameter,, and the plane DID fly faster,, a bunch,,