Exactly.
Imagine had Gute decided to press the Tag and just wait Adams out. August rolls around and Adams is still holding out. Not only months of more drama, as well as "what ifs and whys", but $20+M locked up that they can't spend. Also, going into a draft, not knowing if your FHOF WR is going to play.
Fast forward to Sept. when Adams is still sitting at home, now what? How much do you think Gute is going to get for a disgruntled WR? Finally settling on a deal with a team for a future pick(s), that could be anywhere from 1st to last in a round. Finishing the season with a team that is without a #1 WR, because it was thought he would cave and play.
Gute made the right move, get the drama over with before camp, address the new need in Free agency and the draft with the extra picks. Use the new found cap money on players that improve the entire team.