That depends on the type of call center. I imagine an answering service for a business (which is what we're told this is) will likely be a much less defined. For a medical or legal office (which is a common use case, I imagine), the "script" will be to try to suss out if the call is actually an emergency based on client criteria (if the caller presents it as such), and either take a message or use the emergency contact info on the account and relay the info to the client. At least, that's what it's been when I've encountered them.

With more free form types of calls, identifying problem accounts might take a little longer. That said, even if it lasts a week or two before a problem account is identified and removed, who is to say that's not plenty of time for the scammers? It's not like there's only a few call answering services around. Just cycle to a new one every week or so.

Do I think services exist that cater to illegal and semi-legal activity and try to skirt the line? Yes. I just don't think we should assume that's the case here without evidence, given how trivial it would be to do this with perfectly legitimate services.