You have to play the odds. We have a much better chance of finding players like that picking higher in the draft. That's not really debatable. You simply have to look at the best players in the league right now and see where they were picked.
I would argue that from a statistical standpoint that your formula is a losing one. While you might get lucky and land a perfect combination of the best picks in the best years, it's very unlikely. For every Chicago, there are lots of teams that consistently pick high and stink year-after-year.