Yes...that wire is covered too! All underhood wires are covered, and if you have under 100K...and there is exposed copper........they HAVE to replace that harness. Do a little detective work and look for more wires.
Once you've looked at all the wires...take it to a dealer that won't break anything else.
Good Luck
Note: This advice brought to you by me, reporting from Southeastern Michigan, and not your regularly scheduled location of Ft. Lauderdale.
