I don’t think it works (if it does to you, I believe you): if you remove the naming and the suit from EpIII, some events of EpIV appear to be incomprehensible (“Vader, who was a people of mine”, “now I am the Master”) instead of being mysterious.
It’s not incomprehensible. It works. Between 3 and 4, Obi-Wan would have learned of Vader’s existence and known it was Anakin. Besides, Obi-Wan never called Anakin “Vader” in the theatrical version anyway. And the OT has inconsistencies with itself, without the help of the PT.
All I’ll say is, just watch Q2’s Trilogy before you proceed to pick it apart. It’s good.