Single character domain names are actually Crytopunks or BAYC, and single character domain names are rarer and have more historical and cultural heritage.
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We're enmeshed in Plato's Parable of the Cave.
Greek letter 'alpha' upper & lower case (Α, α) or Danish ø or Japanese 日 or Chinese / Japanese 人 or Sanskrit ॐ are certainly single characters, recognized as such by billions of people.
While local language keyboards may (or sometimes don't) allow single stroke data entry, such logistic barriers are falling away with vocal input & our machines increasingly being able to discriminate context (word sense disambiguation). All of these so-called IDN have alternative bonus of punycode input method beginning xn-- for example xn--q3b.com