Poor Customer Service

On 04/01/2024 around 15:10 I phoned the contact centre of the company requesting account closure. I spoke to a lady by the name of Phumeza. She confirmed that she has logged a closure request. I then requested a reference number for my call. She said that there are no reference numbers. I then asked for her full names, she told me that she is not comfortable with giving me her names. Who will I say I spoke to when a dispute arises? So I trust the company with my sensitive and personal information but their employees do not trust me with their own names and I must be comfortable to speak even if I don't know the person I'm speaking to and yet she even asked for my ID number. I asked for her manager and she told me that her manager is not around and I asked for second in charge, she left me hold for about 2 minutes. I find their service to be unprofessional and I don't expect them to even respond to this review.