The server is not usually a remote machine. The server is the app accepting remote connections.
This has been true for decades.
This has been true for decades.
Nevertheless, X11 "server" and "client" have confused very smart and highly technical people. I have had the entertainment of explaining it dozens of times, though rarely recently.
And honestly, still, a server is usually a remote machine in all common usage. When "the server's down", it is usually not a problem on your local machine.