It is a valid domain in the technical DNS sense. But practically speaking, each TLD has "ns" entries in the root zone database, not "A", "CNAME", etc. entries. This is just a guy who registered www under a TLD that's it.
$ host "ai."
ai has address 209.59.119.34
ai mail is handled by 10 mail.offshore.ai.I'm on my phone now, if you search for the ai entry in the root zone file (https://www.iana.org/domains/root/files) you should find that IP returned by your host command.
Can you try curling "ai" and see if the content returned (if any) is the same as the one from "www.ai"?
Because http://com. Works as well.