Honestly, you can't blame Hayward for the woes of the Jazz last year. It was one of the most dysfunctional displays of basketball I have ever seen. It reminded me of watching D-league games (unwatchable). It has been established that Hayward is not a #1 option (hopefully Exum is). We all know Hayward can do very well in a good system. If we can't get Parsons, who else do we replace him with? Losing him will be a huge dent in the quality of this team.
If the Jazz believe they can actually replace him for less, then great. Otherwise, re-signing him is a no-brainer.
Hayward was pretty much the only player keeping the Jazz off the hardwood last season. Everyone of the other youth, who were supposed to grow, wildly underachieved expectations.
You are correct in that Hayward will look more like a wizard when he's in a system where players can actually read and react as a group. Favors cannot, Burks cannot, Kanter is pathetic at rotations, and Trey was a rookie. Hayward was essentially relying on veteran Richard Jefferson to keep the slightest semblance of an NBA offense. Jefferson was not a whole lot of help, obviously.
If DL can build a group of competent read-react players around Hayward and Exum then Gordon will surprise everyone with his play. If he cannot then this irrational bitchfest from people who only care about the box scores and advanced stats will continue.