I don't think it was a mistake drafting Love, it likely lit a fire under Rodgers and led to 2 years of MVP play.
I have said several times they needed to draft a QB eventually, I just felt they took one a year too early. I wanted a WR that draft. Trading up for Love meant they had to give up a R4 which resulted in them taking Deguara a round early (at least). Not great, but they have a succession plan from Rodgers.
The biggest error was giving up power and that structure of the contract extension -- the longer it goes, the more expensive it gets. Many contracts have decreasing cap hits as they go... this one increases and paints the team into a corner. That's bad cap management.
Maybe that's on Russ Ball or Murphy and not Gute.
Gute's made plenty of mistakes, but he's done some good things too.