I would guess that the valve could still close if it wasn't completely wrecked in the first place. But your doc is right. You don't want the wrap so tight that you can't swallow past it. If the valve doesn't work at all you could still get reflux because the wrap only tightens, doesn't have any valve functioning ability.
A lot of us still need PPIs after surgery. But we're still better off than we were before surgery. At least we don't have constant food and acid coming up and causing irritation and pain.
I still don't understand how they saw esophagitis on a barium swallow. Did they do an endoscopy also?