Are you sure they were using "chat" to refer to ChatGPT? I have noticed many kids now use chat to refer to the collective audience/chat participants, and then gets used rhetorically even when no literal chatroom exists. A streamer says things like “Chat, what do you think?” or “Chat, are we cooked?” That usage has spread well beyond literal livestream chats, particularly among younger people.
The streamer is talking to the people in the stream’s chat room. Every streamer refers to all the people in the chat room as “Chat”. Kids these days use the same collective noun for everyone in their group chat.