Cowl Flapper harness tape

[srode]

Decided to replace my original harness (has a splice in it and a couple broken wires at the plugs) with one from AAW - started on it today and noticed the one from AAW has cloth electrical tape, and the one I am replacing has the thin plastic type tape on it - I'm guessing the one I am replacing is correct? 

If so I guess I retape the one from AAW.   Everything else about th harness appears to be an exact match except the electrical tape.