Player Name is not getting synced in unity multiplayer - visual-studio

Question

Names are not getting synced for players across network.
Here is the code for syncing names -:
[SerializeField] private TMPro.TextMeshPro nameForThePlayer;
private NetworkVariable<FixedString64Bytes> playerName = new NetworkVariable<FixedString64Bytes>();
private void OnEnable()
{
playerName.OnValueChanged += playerNameHandler;
}
private void OnDisable()
{
playerName.OnValueChanged -= playerNameHandler;
}
public override void OnNetworkSpawn()
{
if (!IsOwner) { return; }
if (IsHost)
{
SyncNames(NetworkManager.Singleton.LocalClientId);
}
else
{
RequestSyncNamesServerRpc(NetworkManager.Singleton.LocalClientId);
}
}
[ServerRpc]
public void RequestSyncNamesServerRpc(ulong clientId)
{
SyncNames(clientId);
}
private void SyncNames(ulong _clientId)
{
PlayerData? data = ServerGameNetPortal.GetassignedDataForClient(_clientId);
playerName.Value = data.Value.GetPlayerName;
}
private void playerNameHandler(FixedString64Bytes previousValue, FixedString64Bytes newValue)
{
nameForThePlayer.text = newValue.ToString();
}
Using Update instead of OnNetworkSpawn works but I don't want to do it in update as the names should only be synced during connecting only.
EDIT
public override void OnNetworkSpawn()
{
if (!IsOwner)
{
RequestSyncNamesServerRpc(OwnerClientId);
}
if (IsHost)
{
SyncNames(NetworkManager.Singleton.LocalClientId);
}
}
[ServerRpc(RequireOwnership = false)]
public void RequestSyncNamesServerRpc(ulong clientId)
{
SyncNames(clientId);
}
The above code works fine but in OnNetworkSpawn why are we checking it for other clients In the !isOwner block as network variable's value gets replicated for every other object spawning beside our object.Right?