Trouble Getting NetworkLobby to update player names on Client

I'm using the NetworkLobby from the asset store. I'm attempting to take the form input (player name) and update the gameplayer using the associated lobbyplayer object. Per various tutorials and samples, the magic place for that to happen is apparently in the OnLobbyServerSceneLoadedForPlayer() method. I have the following code running on the Lobby Manager.

     public override void OnLobbyServerSceneLoadedForPlayer(NetworkManager manager, GameObject lobbyPlayer, GameObject gamePlayer) {
         LobbyPlayer lPlayer = lobbyPlayer.GetComponent<LobbyPlayer>();
         Player gPlayer = gamePlayer.GetComponent<Player>();
         gPlayer.playerName = lPlayer.playerName;
         }
     }

So far so good. The Player object has a synvar with a hook...

     [SyncVar(hook = "OnNameChanged")] public string playerName;

And the hook looks like this:

     void OnNameChanged(string value) {
         
         playerName = value;
         gameObject.name = "Player (" + playerName + ")";
         if (GetComponentInChildren<Text>(true) != null) {
             GetComponentInChildren<Text>(true).text = playerName;
         }
     }

When I run this, from the server's perspective, everything goes as it should. All the players get named correctly and their Text object gets set. From the client's perspective, player name never gets set for any player. What am I missing?

Any help would be very much appreciated, I've been struggling with this for a while.