In 1996, this player (Sean Casey) was awarded a batting title:
But this player (Larry Walker) should have been awarded the title instead:
I can see how this was messed up - Walker fell 7 PA short of qualifying. But players who fall short of the mark to qualify should still be able win the batting title if adding the appropriate number of hitless ABs would still result in them winning. Adding an 0-7 to Walker's line puts his batting average at .401, still well ahead of Casey's .383. For that matter, he also should have led the league in slugging and OPS, but misses out for the same reason.
For those curious, this is covered in the MLB rule book, rule 9.22a.
Coincidentally, this happened in real life in 1996 as well, when Tony Gwynn was awarded the batting title over Ellis Burks.