Just looked into the Privacy Ordinance of HK.
My understanding is that they have to justify why they are recording the phone call, and that you can challenge them and correct them on the nature of the phone call.
i.e. Make a recording for yourself and then challenge them.
Six Data Protection Principles (DPP) of the Personal Data (Privacy) Ordinance
DPP1: personal data shall be collected for a purpose directly related to a function and activity of the data user; lawful and fair collection of adequate data; data subjects shall be informed of the purpose for which the data are collected and to be used.
DPP2: all practicable steps shall be taken to ensure the accuracy of personal data; data shall be deleted upon fulfillment of the purpose for which the data are used.
DPP3: unless the data subject has given prior consent, personal data shall be used for the purpose for which they were originally collected or a directly related purpose.
DPP4: all practicable steps shall be taken to ensure that personal data are protected against unauthorized or accidental access, processing or erasure.
DPP5: formulates and provides policies and practices in relation to personal data.
DPP6: individuals have rights of access to and correction of their personal data. Data users should comply with data access or data correction request within the time limit, unless reasons for rejection prescribed in the Ordinance are applicable.
office of the privacy Commissioner, 2014. Privacy. Retrieved Aug 26, 2014 from
https://www.pcpd.org.hk/english/ordi...ordglance.html