You might think that relays ought to send notes among themselves, but that is not the case. Nostr relays do not form a network amongst themselves, and behave mostly as a single hop to "relay" notes between two clients.
So in order to actually see the notes you want to see, you have to get notes from a lot of different relays. And you, as the client, must be responsible for making sure your recipients' relays have your notes.
So with the clients handling the logic of routing notes to their correct destinations, would it not be more prudent to call them the Relays? And with relays dependent on clients to provide their content, are they not, rather, the Clients?