For a server to server connection, is the connecting server considered
as a client of the accepting server or is it not?

I have the following classes:

Connection             <--- base class of the following two
ClientConnection       <--- client
ServerConnection       <--- server
ServerClientConnection <--- server as a client of another server.

But then I came across something that states "A client is anything
connected to a server that is not another client".

Comments please...