Don't chase someone else's rabbit. If someone insists all calls must be recorded then ask that person to come up with a citation.
Brian has noted a single instance where a recording is required. Some banks react to that kind of circumstance by saying "In order to make certain we record the right one's, we record them all." That is the more likely circumstance here.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.