It seems if you’re using 1.1.1.1 as your resolver they (the website operator, not Cloudflare) are returning that IP as their A record. Sigh.
9.9.9.9 (and 149.112.112.112) are working great if you need an alternative public DNS server (https://quad9.net)
No, but thanks. I am of the opinion that if a provider is going to blacklist me because of my choice of resolver, then they just are not worth my time working around. I am quite happy with quad1 as my DNS provider, and these archive services don't provide enough incentive for me to switch.