However, Ben Clemens and Tom Tango wrote about pulled balls a fair amount this past offseason in relation to xStats and they found that pulling the ball doesn't really have that much of an effect on your xStats. http://tangotiger.com/index.php/site/comments/pull-rate-and-xwoba?utm_source=dlvr.it&utm_medium=twitter
For balls in the air, it does make a difference.
But when you factor in ALL batted balls that difference disappears.
They conclude:
Also, Vlad's only underperformed his xwOBA for 1 and 1/3 seasons. 38 points last year and 33 points this year. The previous 4 seasons his xwOBA was almost perfectly in line with his wOBA. So I think there is probably more noise regarding his pull rate issues then there is signal, as Tom Tango puts it.