He might improve some, but I believe he's lost the chip on his shoulder that really made him great. No matter how poorly he plays, I suspect you'll say it's not that bad, not his fault, or both.
Let me put it this way so it's more objective. I don't think he'll be top ten in passer rating or similar metrics. I think top ten is his realistic ceiling and the floor is much lower.
I hope I'm wrong. I am not against Rodgers doing well, I just call it like I see it.