Doubt cloudflare has access to your date. more like the time old joke of it was DNS.

Most likely because you purchased your domain through Cloudflare they are also your authoritative name servers for your domain. When you try to access home.your.domain if the local DNS server doesn’t already know the IP to send that traffic to it will ask CF because they are the name servers. As they are having issues they didn’t respond.

I don’t know if CF allows you do use other name servers with domains purchased by them.