Avoid connection between two websites using one Cloudflare account?

Hello,

I have two websites connected to my Cloudflare account that I’d rather keep disconnected from each other. I set up the privacy so they don’t show up on whois.net. But because I’ve now set up Cloudflare for each of them, when I search for their name or public IP address they both show up on google as being connected to each other. Is there a way I can avoid this?

Can you post a screenshot of that “connection”?