There are two options:
1) The Braves really liked Anderson, felt he was as good a pick or better than anyone else at 3 (which could be supported by his age and helium, as they value youth and recent performance), and got the added bonus of bonus savings that let them get other guys they really liked. (BPA and also BCPPA)
2) The Braves liked Anderson, and even though there were a few guys they thought were better options at 3, took him because of the bonus savings that allowed them to get other guys they really liked. (solely BCPA)
In either of those scenarios, they would have saved the same amount of money and said publicly that Anderson was their top choice. I have said that I honestly have no idea which is true but that both are possible. You have said that #2 is clearly true and only morons could believe #1, despite the fact that it is absolutely possible.
Your only real evidence to support this is his bonus. Which would be the same in either scenario.