I'd say there is a 98% chance this is a bug in some firmware and a 2% chance AT&T is intentionally trying to block Cloudflare DNS. I get why people are paranoid about ISPs blocking content and net neutrality, but let's not cry wolf prematurely. The technical details here strongly suggest a bug rather than intentional blocking of 1.1.1.1 DNS traffic.
Then the odds appear to not be in our favor. CF CEO tweets that 1.0.0.1 is also blocked. https://twitter.com/eastdakota/status/991718955021623296 Others have confirmed that the ipv6 address belonging to CF appears to be blocked.
@DnsLearningOrg Replying to @eastdakota and @ATTCares
This may be our fault. DnsLearning.org / StudyCity.org has implemented DNS servers with two modes. Study mode and Play mode. After 1 hour, "YourTube" and other play sites are blocked. 1/2
All you need to do is link your Khan Academy, DuoLingo or Mathopolis account with us and do 5 problems. DnsLearning / StudyCity.org will automatically detect when you earn points and switch your data center back to play mode. 2/2