I could really see something like this. While Gutekunst is "new", he comes from the Wolf tree. And neither Wolf nor Thompson has taken an ILB or WR in the first round in the last 30 years.
It seems the board/fan consensus is the Packers should take a WR, ILB, OT, DL early. Even if everything were to magically fall in to place for those positions, and Gurtekunst feels the same needs, one of those positions still wouldn't be taken until Round 4. Withe the signings of Kirksey, Funchess and Wagner, he's not forced in to taking one of those spots early and using Free Agency as likely the best way.
Heck, even if he sticks to the "script" we could well see something like this: