I think there is a bit of nuance to it. The AI usually rereads the chatlog to “remember” the past conversation and generates the answer based on that+your prompt. I’m not sure how they handle long chat histories, there might very well be a “condensed” form of the chat + the last 50 actually messages + the current prompt. If that condensed form is transient then the AI will forget most of the conversation on a crash but will never admit it. So the personality will change because it lost a lot of the background. Or maybe they update the AI so it interprets that condensed form differently