It's mainly only the address you should worried about, but really a domain should have an owner associated with it. Do you complain about public records for who owns a plot of land?
I registered a new domain last month and since have been getting several spam telephone calls a day. The calls come from fake "local" numbers too so they are incredibly hard to screen. Some calls are companies trying to sell me web design services, and some, I think, are just trying to verify if this is "live" number so they can sell it off to other spammers. I can effectively can only trust new calls from numbers I personally know now, and have missed several real calls because I've stopped answering anything else.
These sorts of calls are infuriating when working at a web des/dev company. No we don't any need dev/design services -- we registered that domain because we're doing that!
Looking to change the number out to a voicemail transcription number now that things are picking up so it's easier to filter out the duff calls
I did the same thing on accident a while back. If you have T-Mobile, they have a service called Name ID that will screen calls and auto-reject them. It works tremendously. It's included in the T-Mobile Plus service if you have it.