I have not found a good spot to insert this post since the earlier discussion so I thought I would just give on trying to find a spot and post it here.
Stanford actually studied hitting success as it relates to the pitch count.
Stanford did a study of pitch count versus success of swinging for four seasons earlier this decade. While they studied a whole bunch of different aspects to the pitch count the best one with regard to hitting later in counts than earlier is the one that looks at swings in counts. For purposes of simplicity to the study it did not try to understand if a hitter actually swung at a pitch that would have been called a ball and simply considered all swings as strikes and all called strikes as strikes.
The study shows that the least successful of swings are taken with the count at 0-0. The only "strike" recorded as less successful than an 0-0 strike is a 3-0 strike. However the 3-0 strike tally (not swing tally but strike tally) is biased by the fact that so many hitters are taking 3-0. Again all swings were counted as strikes and all called strikes were counted as strikes. Other than 3-0, the chances of having a strike produce success for the hitter went up in all cases, the deeper into the count the hitter got and his chances were always better at any count other than 0-0.
In the case of swinging strikes, the chance of success for the hitter was always better swinging at pitches at any count other than 0-0. Even when they were behind in the count hitters produced better results when the count was anything other than 0-0 and in fact there results always improved the deeper into the count they got. Another way of saying that results are on a percentage basis worse swinging at first pitches than at any other time in an at bat. To say nothing of the fact that a hitter cannot walk unless he gets at least as deep into a count to have 3 balls. The study did not try to speak to the value of walks. It only concerned itself with strikes and swinging strikes relative to the pitch count. We only have to look at Buchs 3rd inning tonight to see the effect walks can have on a game.