I’ll pick on the FQDN part first, because it’s the (only) part that is unequivocally wrong. FQDN is a very specific technical term in the domain name system. A fully qualified domain name includes a trailing dot, so Ⅷ.fi. would be four characters, even if Ⅷ and fi were the actual labels. But they’re not: DNS is strictly ASCII-only, so this normalisation is happening at a higher level (as the OP notes in another response here, tools are applying IDNA2008, per RFC5895). The FQDN is viii.fi., which is eight characters long.
Next I deny the claim that it’s a single-character domain. Perhaps I’m getting petty here, but even if people do colloquially speak of example.com as a six-letter domain, counting only the label at the level you register the domain, so that I would grudgingly allow Ⅷ.fi to be considered a single character domain (per proletariat vernacular), the domain name that was “bought” was not that, but viii.fi, which is a four-letter domain. Hair splitting is fun.
But my pettiness knows no bounds. Domain names aren’t bought, they’re registered for such-and-such an amount per annum. And I bet it wasn’t exactly £15.00 that was paid.
:-)
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I went thinking about other TLDs that would work, and ℡ (TEL → .tel) and № (No → .no) occurred to me off the top of my head. Haven’t seen a .tel domain name in yonks. I never did quite see the point of .tel.