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OK, I hesitate to play mini-lawyer and just pull stuff out of legislation, but I found this in the Fair Debt Collection Practices Act, and it seems to say they gotta tell you on the phone:
807. False or misleading representations
A debt collector may not use any false, deceptive, or misleading
representation or means in connection with the collection
of any debt. Without limiting the general application
of the foregoing, the following conduct is a violation of this
section:
...
(11) The failure to disclose in the initial written communication
with the consumer and, in addition, if the initial
communication with the consumer is oral, in that initial
oral communication, that the debt collector is attempting
to collect a debt and that any information obtained
will be used for that purpose, and the failure to disclose
in subsequent communications that the communication
is from a debt collector, except that this paragraph shall
not apply to a formal pleading made in connection with
a legal action.