Ive been told it is more of a tie breaker, they spend little time looking at each package and the highlights are the ASTB and GPA. They don't necessarily look at each applicants LORs or Motivational Statements as it would take way too long. Now if it came down to two people with very similar scores and GPA, and they can't take both, they would probably look at that sort of thing.
Its just my train of thought that the more complete your package is, the better it looks overall.
As for you ASTB, you and I are similar (you have me beat though), and I am certainly not retaking it until I hear a decision at this board. Even then, I may make changes in some other ways to my package.