After having the wrap on for a whole day and night, it finally slipped off sometime this morning. Upon further inspection, it looks completely normal again. I cannot believe that 24 hours in that wrap fixed it that quick. I'm not getting my hopes too high, but at least if it does start to twist again, I know what to do!
I just gave it another go with the Cayuga now and we'll see if it lasts. I did it much tighter and with more tape. I might just have to keep re-applying it. At least she's getting better about sitting still for me to wrap it.