Remember even though there is supposedly a huge emphasis on working counts now-a-days walk rates are essentially unchanged, so I don't know if batters are seeing significantly more pitches.

I also realized that in my example above the three ball count PA's of 114, shouldn't be the final number. A three ball count where the next pitch (or pitches) are strikes wouldn't count. That should at LEAST cut the PA's in half, probably moreso due to the need to throw strikes in a 3 ball count. But even without taking that into account we're down to 57 PA's. Again this is skewing everything against my thesis.