Yeah, jrd is making this much harder on himself than it has to be by insisting on such strong language. HR, BB, and Ks aren't the only thing a pitcher controls, they are things they have the most control over. It's not that pitchers don't have ANY control over whether a batted ball becomes a hit or an out if it doesn't go over the wall, but over time, the numbers suggest their control over it is much more limited than we might intuitively think.
And I go back to what I interjected earlier - since we've long since abandoned BA as the primary measure of a hitter's value, why would we still stop at BABIP when looking at the result of balls put in play? Halladay can't manage to be consistently under league average in BABIP, but he does consistently outperform his FIP. Could it be that the extent to which he keeps batters off balance and keeps them from squaring him up shows up more in how many extra base hits he gives up than in his BABIP?