Where does it do this?
If you hover over your message, an edit button appears. Editing your message fork the conversation, and creates a pagination thing to the left of the user icon.
For the thumbs, this does not seem to change the conversation in any way - ChatGPT does not react.
For editing (this is new to me, so TIL, ty!) - it seems to share memory across threads in a few naive tests I just did, so almost there, but not entirely.