Wright has spent most of his brief MLB career bouncing between the big leagues and the minors, and he's basically always been in a position where if he had one bad start he'd go right back down. That's tough, and ideally I think you'd pencil him in to the fifth spot in the rotation, give him a bunch of consecutive starts, let him sink or swim and finally make clear whether or not he can pitch at this level. But the Braves are trying to win a World Series here, and there's not much of a margin for error in the division, so you can't just let Wright get his head kicked in over the course of three months.
The other thing with Wright is that I just don't see the stuff you want from someone with his pedigree. It's an arsenal of mediocre offerings, and it's really hard to get big league hitters out there if that's what you're bringing to the table.