Rename the two PlaySessionHandler classes to more clear names.

src/main/java/com/velocitypowered/proxy/connection/backend/BackendPlaySessionHandler.java

@@ -1,5 +1,6 @@
 package com.velocitypowered.proxy.connection.backend;
 
+import com.velocitypowered.proxy.connection.client.ClientPlaySessionHandler;
 import com.velocitypowered.proxy.protocol.MinecraftPacket;
 import com.velocitypowered.proxy.protocol.packets.Disconnect;
 import com.velocitypowered.proxy.protocol.packets.JoinGame;
@@ -11,10 +12,10 @@ import net.kyori.text.TextComponent;
 import net.kyori.text.format.TextColor;
 import net.kyori.text.serializer.ComponentSerializers;
 
-public class PlaySessionHandler implements MinecraftSessionHandler {
+public class BackendPlaySessionHandler implements MinecraftSessionHandler {
     private final ServerConnection connection;
 
-    public PlaySessionHandler(ServerConnection connection) {
+    public BackendPlaySessionHandler(ServerConnection connection) {
         this.connection = connection;
     }
 
@@ -34,13 +35,13 @@ public class PlaySessionHandler implements MinecraftSessionHandler {
                     .build();
             connection.getProxyPlayer().close(reason);
         } else if (packet instanceof JoinGame) {
-            com.velocitypowered.proxy.connection.client.PlaySessionHandler playerHandler =
-                    (com.velocitypowered.proxy.connection.client.PlaySessionHandler) connection.getProxyPlayer().getConnection().getSessionHandler();
+            ClientPlaySessionHandler playerHandler =
+                    (ClientPlaySessionHandler) connection.getProxyPlayer().getConnection().getSessionHandler();
             playerHandler.handleBackendJoinGame((JoinGame) packet);
         } else if (packet instanceof Respawn) {
             // Record the dimension switch, and then forward the packet on.
-            com.velocitypowered.proxy.connection.client.PlaySessionHandler playerHandler =
-                    (com.velocitypowered.proxy.connection.client.PlaySessionHandler) connection.getProxyPlayer().getConnection().getSessionHandler();
+            ClientPlaySessionHandler playerHandler =
+                    (ClientPlaySessionHandler) connection.getProxyPlayer().getConnection().getSessionHandler();
             playerHandler.setCurrentDimension(((Respawn) packet).getDimension());
             connection.getProxyPlayer().getConnection().write(packet);
         } else {

src/main/java/com/velocitypowered/proxy/connection/backend/LoginSessionHandler.java

@@ -1,5 +1,6 @@
 package com.velocitypowered.proxy.connection.backend;
 
+import com.velocitypowered.proxy.connection.client.ClientPlaySessionHandler;
 import com.velocitypowered.proxy.protocol.MinecraftPacket;
 import com.velocitypowered.proxy.protocol.StateRegistry;
 import com.velocitypowered.proxy.protocol.packets.Disconnect;
@@ -37,12 +38,12 @@ public class LoginSessionHandler implements MinecraftSessionHandler {
             connection.getChannel().setState(StateRegistry.PLAY);
             if (connection.getProxyPlayer().getConnectedServer() == null) {
                 // Strap on the play session handler
-                connection.getProxyPlayer().getConnection().setSessionHandler(new com.velocitypowered.proxy.connection.client.PlaySessionHandler(connection.getProxyPlayer()));
+                connection.getProxyPlayer().getConnection().setSessionHandler(new ClientPlaySessionHandler(connection.getProxyPlayer()));
             } else {
                 // The previous server connection should become obsolete.
                 connection.getProxyPlayer().getConnectedServer().disconnect();
             }
-            connection.getChannel().setSessionHandler(new PlaySessionHandler(connection));
+            connection.getChannel().setSessionHandler(new BackendPlaySessionHandler(connection));
             connection.getProxyPlayer().setConnectedServer(connection);
         }
     }

src/main/java/com/velocitypowered/proxy/connection/client/ClientPlaySessionHandler.java

@@ -17,14 +17,14 @@ import java.util.concurrent.ScheduledFuture;
 import java.util.concurrent.ThreadLocalRandom;
 import java.util.concurrent.TimeUnit;
 
-public class PlaySessionHandler implements MinecraftSessionHandler {
+public class ClientPlaySessionHandler implements MinecraftSessionHandler {
     private final ConnectedPlayer player;
     private ScheduledFuture<?> pingTask;
     private long lastPing = -1;
     private boolean spawned = false;
     private int currentDimension;
 
-    public PlaySessionHandler(ConnectedPlayer player) {
+    public ClientPlaySessionHandler(ConnectedPlayer player) {
         this.player = player;
     }