If you want to be private, in is better you do away with the AI that can easily collect information from you.
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There is no
can about it.
AI/Chatbots DO collect information. While they are not allowed to collect personally identifiable information, what is collected is fairly general such as the nature of the inquiry, the structure of it and, if you accepted the bot's response, etc. Nonetheless, data IS being collected to be used for the AI training.
Personally, no way in hell would I want any sort of AI to automatically make ANY sort of financial transactions for me. Monitor market conditions etc and then make recommendations for me to decide what to do - sure.