Thanks for the typo correction.
The argument isn't mine (and I don't agree with it), which is why I'd put it in the "ask your DM" basket. Just because I don't agree with it, though, doesn't mean everyone else thinks that.
Now, if I were to make the argument in favour of it, it would be, because you have extra hit dice, you get extra BAB, and it would be according to type, like Humanoid or Fey dice. However, I think that the bonus the ability gives to attack rolls covers it (although the ability doesn't explicitly rule out extra BAB from extra hit dice).