Why is player nil when passed from a remote event?

From server:

game.Players.PlayerAdded:connect(function(player)
	remotes.addLabel:FireAllClients(player)
end)

From local script:

function addLabel(player)
	print(player.Name)
end

Error:

Player1
17:02:07.346 - Players.Player1.PlayerGui.listScript:20: attempt to index local 'player' (a nil value)

Why is this not working? If I pass in the Player's name from the server, it'll work though. But why can't I pass in the player object and have it working? I tested this in STUDIO's server testing tool.

What's going on?

Working a-okay;

game.Players.PlayerAdded:connect(function(player)
	remotes.addLabel:FireAllClients(player);
end)

remotes.addLabel.OnClientEvent:connect(function(player)
	print(player.Name);
end)

Edit: Since the entire point of the RemoteEvent is to enable filtering, it seems utterly ironic that I'd miss this. That said, the player isn't replicated from the server to the client, so the client receives the Player Object, but only the Player Object, not any of it's properties. Passing player.Name to FireAllClients and printing the parameter giving to OnClientEvent generates the desired output.

game.Players.PlayerAdded:connect(function(player)
	remotes.addLabel:FireAllClients(player.Name);
end)

remotes.addLabel.OnClientEvent:connect(function(name)
	print(name);
end)

Hello Arithmeitcity!

I fixed your script, and I think now this will work.

game.Players.PlayerAdded:Connect(function(player)
	remotes.addLabel:FireAllClients()
end)

remotes.addLabel.OnClientEvent:Connect(function(player)
	print(player.Name)
end)

I hope I helped you :)