Cloudflare is no better, maybe worse. They forward your complaint & PI on to the offending site's registered owner and to whichever (gray or black hat) host it's served from. In my experience, there is nothing you can do to convince Cloudflare to do anything other than be a middleman for the complaint, yet they offer a layer of protection for the nefarious activities.
Even when I've been able to track down hosts, registrars, etc for scraped duplicates of sites, and report to all and Google, Microsoft Safety Scanner, etc -- nobody acts (or certainly not in any reasonable enough time to be useful).
In one case the scammer was using our own logo served directly from a source we could replace with Cloudflare rewrites. So the hijacked logo became "THIS IS A SCAM SITE" while we replaced the one on production.