I'm going to make a bold prediction here. If the Jazz have the choice between picking Trey Burke and CJ McCollum, I predict they would choose McCollum. The reasoning is that McCollum is bigger, finishes better around the rim, has enough size and feel to play PG at the next level (like DWill did at Illinois), and also because McCollum is older and more developed (a senior). McCollum is older than Burks, Favors and Kanter, and there should be less of a learning/development curve. He should be able to fit right in. Plus he's a really good shooter all over the floor.
I don't think poorly of Trey Burke but I'm extremely high on CJ McCollum. I'd much prefer him to Burke at PG for our team, primarily for the reasons you outlined above. I think he can really play, really score and really shoot.