Why is client updating everyone?

I have a race like game where I use a trigger part to signal the end and show the winner. FE is enabled.

When the part is touched it sends an remoteevnt to the server with the winners name then the server sends a fireallclient to stop the race and show who won.

I kept getting an invalid playergui error but the message was showing up. So I did some test and for some reason each client is trying to update the playergui for all players.

I have just ruined it on test with two players. Player1 will update its player gui and give an error that player2 gui is invalid and player2 will update its gui and give an error that player 1 gui is invalid.

Not sure what is gong on I deconstructed my code to check if it was an interaction but get the same problem. Once I get home I can post the code if necessary, I just can keep my mind off this problem.

Trigger:

local Players = game:GetService("Players")
local localplayer = Players.LocalPlayer
local ReplicatedStorage = game:GetService("ReplicatedStorage")
local timerGUI = localplayer.PlayerGui.timerGui.timerLabel --where time will be displayed
local endGameEvent = ReplicatedStorage:WaitForChild("endGameEvent")

function startTimer()
    local DEBOUNCE = false --off switch debouncer
    workspace.trigger.Touched:Connect(function(hit) --when roof (aka off switch) is touched
	    if not DEBOUNCE then --so off switch work only once
		    if hit.Parent:FindFirstChild("Humanoid") then --if touched by a humanoid
			    print('touched')
			    DEBOUNCE = true --disable off switch
			    endGameEvent:FireServer(hit.parent.Name) --tell server game ended [server]
		    end
	    end
	    DEBOUNCE = false --disable off switch
    end)
end

startTimer()

Server:

local ReplicatedStorage = game:GetService("ReplicatedStorage")

local endGameEvent = Instance.new("RemoteEvent", ReplicatedStorage) --create remove event for signaling end of game on server
endGameEvent.Name = "endGameEvent" --name remote event

local clientsEndGame = Instance.new("RemoteEvent", ReplicatedStorage) --create remove event for server to signal all clients that the game has ended
clientsEndGame.Name = "clientsEndGame" --name remote event

local function onGameEnded(player, winnerName)
    print('winner_server:: ' .. player.Name)
    clientsEndGame:FireAllClients(player, winnerName) --signal all clients to stop and display winner [client_server]
end

endGameEvent.OnServerEvent:Connect(onGameEnded) --client signaled game has ended and sent winners name

Clients:

local Players = game:GetService("Players")
local ReplicatedStorage = game:GetService("ReplicatedStorage")
local localplayer = Players.LocalPlayer

local clientsEndGame = ReplicatedStorage:WaitForChild("clientsEndGame") --server trigger for ending game and sending who won
local playerGui = localplayer:WaitForChild("PlayerGui")

local function onNewPlayerFired(player, winnerName)
    print("print winner name: " .. player.Name)
    local timerGUI = player.PlayerGui.timerGui.timerLabel
    timerGUI.Text = winnerName .. " Wins!!!" --changes to winner name
end

clientsEndGame.OnClientEvent:Connect(onNewPlayerFired)

Figured it out, finally!!! My error was sending the player as a variable for fireallclients this is not necessary, I just have to reference the playergui directly since the code is running on the client.

This had me stumped for days. Thanks everyone for the help!!