Short answer: no. Quite the opposite, actually — Archive.is is intentionally blocking 1.1.1.1 users. Here's why.
tl;dr: No. Quite the opposite, actually — Archive.is’s owner is intentionally blocking 1.1.1.1 users.
CloudFlare's CEO had this to say on HackerNews:
We don’t block archive.is or any other domain via 1.1.1.1. [...] Archive.is’s authoritative DNS servers return bad results to 1.1.1.1 when we query them. I’ve proposed we just fix it on our end but our team, quite rightly, said that too would violate the integrity of DNS and the privacy and security promises we made to our users when we launched the service. [...] The archive.is owner has explained that he returns bad results to us because we don’t pass along the EDNS subnet information. This information leaks information about a requester’s IP and, in turn, sacrifices the privacy of users.
I am mainly making this post so that admins/moderators at BeeHaw will consider using archive.org or ghostarchive.org links instead of archive.today links.
Because anyone using CloudFlare's DNS for privacy is being denied access to archive.today links.
In case you don't know, Cloudflare already controls a massive amount of websites, have access to their unencrypted traffic and are making the web inaccessible for people who use tor or noscript. They are a threat to the open web.
Do you have an alternative that isn't google? Because google's DNS privacy policy is much worse.
I don't like cloudflare, but their DNS terms are relatively good, and they have my info anyway because as you say, they're everywhere. I don't think my not using their DNS will make any appreciable mark on their business, either.
LOL that's not a bad way of explaining it. My reasoning is that I like CloudFlare, so I'll default to them, but if CF goes down I want DNS to continue working. I figure Google is one of the servers that's LEAST likely to go down.