In theory, this is correct. But since it would probably be Jerry Angelo making those draft picks for the Bears, we can say with 95% certainty that the Bears would not be getting Stud #1 and Stud #2.
Just look at the latest Angelo fiasco, Chris Williams. He was a top pick, he didn't play last year, he was so inept in training camp this year that he was slated at RT (how many teams draft RT with top 10 picks?), and he has been horrendous this year. In the Niners game the only thing he accomplished was costing his team 15 yards at the end of the game with an unnecessary roughness penalty...and he still didn't even hit anybody!