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So if the pilot uttering that request (despite it not being
recommended by the Advisory Circular) receives no reply, is he to
erroneously believe that he is alone in the pattern?

I was very clear on that point.

What of the
NORDO aircraft that is incapable of radio communication, or the pilot
who chooses not to respond to such a nonstandard radio broadcast?

The former will not respond, though may have the ability to receive such
transmissions; the latter need only provide the calls specified in the AIM
to satisfy the request.

I agree that the 10 mile announcement serves attention to the lonely pattern
flyer that now would be a good time to start talking, so the extra
"...please advise" words are unnecessary.


Just make the self announced position report broadcasts as the AC
suggests:

or as set forth in the AIM, which "contains _the fundamentals required in
order to fly in the United States NAS_.