Well, what type of phone call? You mean a phone call between a lawyer and a client? If so, then, of course it is protected, because it is communication between the lawyer and the client. It is not a good analogy for Claude chats because those chats are not communication between a laywer and a client.
The concept of sharing the chat with the lawyer will not work, since as the ruling points out, you cannot turn a non-privileged document into a privileged one by sharing it with your lawyer after the fact.
The concept of sharing the chat with the lawyer will not work, since as the ruling points out, you cannot turn a non-privileged document into a privileged one by sharing it with your lawyer after the fact.