Ok, so I went to the Cloudfare abuse form [0] to see the specifics.
It asks for a whole lot of information (including full name and email address) and at the bottom states:
"By submitting this report, you consent to the above information potentially being released by CloudFlare to third parties such as the website owner, the responsible hosting provider, law enforcement, and/or entities like Chilling Effects."
It's pretty clear therefore that they mean all of information provided and not just the reason for the complaint.
0: https://www.cloudflare.com/abuse/form