A very interesting and pleasant post, @honeydue. What you present to us puts us before the evidence that Carroll's work, undoubtedly, is directed by two major aspects: illogicity and linguistic play, both converging in the unstable character of meaning. Similar situations can be found both in Alicia in Wonderland and in Alicia through the mirror. Your inquiry, also very playful, by the way, reflects it quite well for the famous question of the Hatter; but we will find the same in the encounters with the Queen, with the Cheshire cat, or with Humpty-Dumpty. These aspects, beyond the anecdotal nature of their narrations, make this work a major contribution to literature and even the philosophy of language. Thank you for your article, and @adsactly for its publication.