I’ve actually never
read the poem, or
gone to see Cats (my high school picked Jekyll and Hyde instead, I had voted for Cats myself), so I had to look this one up.
Really, Dean’s main issue is going to be the constant sneezing. How’s he supposed to think straight to figure things out when his head’s filled with cotton balls, his nose won’t stop running, and his eyes itch like nuts? He’ll be convinced it’s all a ploy to get the best of him.
The bros might be better to handle the supernatural aspect of things with clear heads, since Sherlock might be none too pleased to hear about the strange feats of the cat, determined to find a reasonable explanation for it all.