Comment by JdeBP

This is a confusing question. If the terminal emulator is using the server's frame buffer, then it is running on the server end. If the terminal emulator is 'over SSH', then the actual terminal emulator runs on the client end.

They are two very different setups, the former being covered by the likes of zhcon, jfbterm, fbpad, and my virtual terminal system; and the latter being a wide range of things depending from what one's desires are on the client.