IP's Special, "Why Hedo Doesn't Work Pour Vous" Argument:Hedo Turkoglu is completely dependent on having the ball in his hands to make a positive impact on the offensive end. Do not believe me? Let me show you.
Here is a graph showing Hedo's lifetime Usage in relation to FG%:

That one shows one year, 2005-2006, when Hedo had a good FG% but a (relatively..but still high) usage of 19.0.
Here is the graph without the outlier:

Lastly here is a graph showing Hedo's PER in relation to Usage:

When Baron Davis, Antawn Jamison, and/or John Salmons are on the floor, Hedo Turkoglu won't get the touches to impact the game. When Hedo isn't a playmaker, he's not an impact player.
Even when he is a playmaker, he's still only a slightly above average player, but that's not the point. Unless Hedo only sees time with a backcourt of Fernandez/Matthews, he's going to be an invisible man, and a liability on defense against LeBron.