I don't think the appearance will make a difference, but picking a few spots higher wouldn't have made a difference, either.
Really the question is whether Ainge should have waived Bass and Prince and dumped Thornton for a minor pick at the deadline instead of trading for Jerebko, Datome, and IT. The team probably would have missed the playoffs by a significant margin without Bass, Jerebko, or IT.
I think the answer is probably no, because IT is a solid asset. It'll depend on what value he ends up bringing over the next year or two.