Some are using Google Gemini.

It saves your chats, which are presented in a pane you can expand on the left and search. You can jump back into any chat and continue it, or delete individual chats.

This history is attached to your Google account, not to the chat window. You can pick up an existing chat in another browser on another device where you are authenticated with the same Google identity.

Now about the specific use scenario in this article (hitting refresh immediately after submitting a prompt, while the response is coming). Not sure why that would be important?

I just tried it several times. Both times, it initially appeared as if the Gemini interface lost the chats, since they didn't appear in the chat history section of the left pane. But after another refresh, they appeared. So there is just some delay.

Anyway, it's good in this regard beyond giving a damn.

Very weird that the foundational LLM companies' own chat pages don't do this.

Go to ChatGPT.com while logged in, start typing right away, 8 words into typing it clears the text in the form. Why?