>>If they impact the frequency of the individual inputs (events), wouldn't that mean they affect the output (measures)? Or am I not reading your post correctly?<<
I think you are, but slightly missing what my point is. Supposedly the developers say that that PC affects OAV. My contention is that's not possible directly. You are right in that the splits affect events. The contention that a rating directly affects a measure is what doesn't make sense. My contention is that's what they say.
Ratings combinations affect outcomes of events. OAV only measures the events.
I think of it like this. It's like saying if a batter tends to hit the ball more squarely, his batting average will go up. The problem is that his batting average doesn't measure whether or not he's hit the ball squarely, it only measure the outcomes of events. His batting average depends on a bunch of other things too. The likely indirect result of hitting the ball more squarely is increased batting average, but not if randomness causes him to hit more balls right at a fielder (just look at BABIP for real MLBers). My point in a ratings sense is that PC probably causes the pitcher to throw certain pitches to certain players and that the combination of the various ratings result in a slightly more likely outcome of an out versus another event. OAV is a statistic. The ratings don't determine statistics. They determine the outcome of events. The statistic is the measure, not the outcome.
Long-winded, but that's how my warped mind works.