3rd out + missed plate

[Mike Follett]

Wait a second. Are you saying that the runner who came back and touched the plate, would be called out on appeal, even after he "retouched" the plate?
I'd say once he retouched the plate, his run was in the books for good. He "scored" before the 3rd out was recorded, and unless the appeal was sustained on him before he came back and touched the plate, he's still considered to have scored, right? The ball didn't become dead just because the defense recorded the 3rd out elsewhere, did it?
Therefore, he could, and did legally retouch HP. Count the run no matter what here, I'd think.......