You didn't read it correctly. The Methodist author is criticizing that approach just the same way you are. The author is agreeing that that way of understanding apostolic succession has historical problems. You are also saying that that way of understanding apostolic succession has historical problems.
Please read it again, because I think you missed his further point on the correct way to think about apostolic succession.
I can read it all day long and it still ends up that this whole “apostolic succession” thing is based on falsehoods.