I personally never found Mimikyu cute or endearing, but if it was a Pokemon I liked that could somehow fit into its .08" body, maybe I'd like it? I doubt any of the Pokemon I like would hide under that rag. None of the Pokemon I really dislike would fit under it, either.
However, going by the topic, if it was a Pokemon I really like, like say Rockruff, I would catch all the Mimikyu out there and keep them as pets. If it's Jynx, I'd find it even more freakish than before and I'd never want to see it again.