Once McMilfson floundered it was Johnson's idea to sign a marquee veteran QB. Of course, they could've stuck with Mike Caucasian who was showing signs of progress and was liked by teammates, building around him instead. That might have been the wiser choice since Rodgers will be a pricey, short-term VERY high-stakes rental. But Woody never has been keen on team building, just splashy moves to stoke fan hopes and compete with the Giants for space on the Post's back page.
Why the Jete didn't instead pursue Lamar Jackson is unclear. I suspect they figured (A) they just couldn't get him or (B) didn't want to run that style of offense, since they still seem to believe Punky eventually will get his act together.
But now with Caucasian gone, the Jete are royally screwed if Rodgers mails it in, gets hurt or doesn't deliver a boatload of wins this coming season then retires.