I don't think there is a fair way to compare Wren to his successors. There was never any way Wren was going to be allowed to stop the 'win now' path and rebuild the team, that would have been an admission that JS left the organization in poor standing. He had to keep the train rolling as far as possible for as long as possible. He also had the presence of Bobby Cox to contend with, and I think we all know that Bobby didn't want the MLB team to take a step back. Once Cox was gone, and then Wren, the lack of depth in the organization could be pinned on Wren and the long needed change in philosophy could begin.
It's also hard to judge Hart and Coppy fairly because of the strange duality of their roles. We really don't know at what point Coppy really got control, and how often he was forced into decisions after that by Hart, JS, or both.
The whole player personnel management situation has been a convoluted mess ever since JS absolved himself of responsibility while still keeping some toes in the water. I think it's easy to look all the way back to the Mark Teixiera (or however you spell that) trade and see things started getting sideways there.