The Jazz fell out of the playoff race in about January last year, lost their coach, and traded their best player at the time (their best player who was destined to leave the team in a year anyway). So, there was no way for them to make the playoffs (ie. They didn't tank last year to get Burks). So your hypothetical is irrelevant.
Trying to draw comparisons to this year, a year where we have a team capable of getting into the first round to be a 5-8 seed and face an OKC, Spurs, Lakers, or Clippers, *and yes, possibly get swept or win 1 or 2 games* and last year's team that was literally ripped in half, is like comparing apples and "orangello's"
Plus, how do you know Burks doesn't drop to us at 15 or whatever anyway? Yeah, that's my scenario I choose, if we're just randomly making up stuff. Jazz make the playoffs last year, and draft Burks. Add that to the poll, because that's what I choose.