I think, more than anything else, Fred just puts together an offense that allows for the players to success and improvise *within* the context of what is going on out there.
Look at that one play from the video above - it's just a screen for DeAndre on the side by either Niang or Ejim. And, out of that, DeAndre reacts to the defender and either...
--> defender is slow around the pick, take it to the hole and beat the help/get fouled
--> defender is too fast/the post's defender doubles him, kick it back to Niang or Ejim for a drive or an open three-point look
--> defender cheats the screen on the far side, then cheat back on the inside and drive for the hole past the slower post defender for an inside look or a foul
--> defender gets around the screen alright but plays low/takes baseline away for the drive, not letting you get past him low, then just step back and take an open, semi-corner three over his head
Granted, having somebody with the versatility of a player and scorer like Kane makes this all go, but that's really the Hoiberg mentality in having players that do everything well and only really emphasizing shooting abilities as a fundamental talent and emphasis.
Fred adjusts these basic principles, too. I swear 95% (not that many in reality, but you know) of our offensive sets his first year was JVB on a high, top of the key screen for Diante. And it was the same principle... DG, if you are around your man, go to the hole to shoot/get foul/pop out to SC for a three, if they leave JVB too open, get it back to him and let him launch a three and he is so tall/generally guarded by a slower post so it is hard for anybody to recover back to him before the ball is away. JVB was an adequate player, but not the inside-outside threat that Melvin and George are, however (mostly just a tall shooter, despite being a nominal center), so Fred put it at the top of the key to draw that post defender even further away from his comfort zone and give JVB more space and time, which is important considering he didn't have Georges or Melvin's ability to drive and punish the defense if he got the ball back. DeAndre was bigger than Diante and better able to take hits/fouls and keep his balance and shot, so he was better driving baseline, but Diante was faster and a better ball handler and better able to drive center, so it helped him, too.