In all of my days...
I've NEVER needed to re-wire the penetration into a chiller.
So you're getting excited over nothing.
If worst came to worst, just abandon the prior conductors and punch another hole; set another j-box next to the prior and carry on.
You're not supposed to cork up anything until the whole unit checks out.
If you're terrified that you've missing something toss in a spare conductor or two. The entire penetration zone is only 6 inches. Scrap conductors that long are all over your spool butts.
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I've never played Chico & the electrician...
But I understand that warm to hot vinegar does wonders for it.
In which case a suitable nipple full of vinegar screwed into the stopper threads could be heated by electric gun/blower...
And you're making progress.
