The New York Times is requesting that all ChatGPT conversations be retained as part of its lawsuit against OpenAI and Microsoft.OpenAI could be forced to keep all ChatGPT conversations indefinitely, potentially infringing on user privacy.OpenAI CEO Sam Altman believes AI chats should be as private as conversations with a lawyer or doctor.OpenAI argues against the demand to retain user chats indefinitely, citing privacy concerns and appealing the decision.