Amazon doesn't make any sense as the "another free DNS service" since they're described as free and "much smaller than Cloudflare", and Amazon is neither of those things.

And in any case, if I assume that Cloudflare is indeed proxying all DNS queries for Archive.today through some shitty EC2 instance that causes Archive.today to not have any geo information, it's a completely self-inflicted wound. They could've gotten geographical data from 1.1.1.1 to the accuracy of the edge nodes but decided to just outright block 1.1.1.1.