I don't have any reason to believe the Packers avoid selecting Badgers in the draft. I think it was Starr as GM who said he avoided Badgers because of they would experience extra pressure staying in-state.
As to Wilson, IMO it would have been a mistake for Thompson to select a backup QB in the first half of the draft unless he was the only player in a higher talent tier when the Packers picked. IMO it's too early to go out of their way to spend a high pick on Rodgers' successor. If Wilson had ended up in Green Bay, he likely would have found greener pastures as Flynn did before Rodgers was ready to retire.
Regarding that particular draft, Wilson was selected at #75 in the third round. The Packers went into the draft with picks #28, #59, and #90. Thompson traded up from #59 to #51 to get Worthy and from #90 to #62 to get Hayward. I suppose he could have hung on to pick #90 and waited until the beginning of the third round and traded up to get Wilson but again, I just don't think that would have made any sense at this point in time.
Thompson would have only had to jump up a few spots in the first round to grab Carimi. Depending on how far up he went that may have cost the pick used to select Cobb, Green, or House. The Bears are in need of someone to take over the LT spot and Carimi is being used exclusively at RT. Of course at the time of that draft, the Packers already had Bulaga.