If I :SetAttribute(game), will it replicate everywhere?

Greetings! I am trying to replicate something without creating an object. I am wondering if I can :SetAttribute() game or even ReplicatedStorage if possible, but preferably game, and if it will replicate to the Client.

Thanks in advance!

Server

game:SetAttribute("GLOBAL", true)

if game:GetAttribute("GLOBAL") then
	print("SERVER")
end

game.ReplicatedStorage:SetAttribute("GLOBAL", true)

if game.ReplicatedStorage:GetAttribute("GLOBAL") then
	print("SERVERREP")
end

Client

print("client")
if game:GetAttribute("GLOBAL") then
	print("CLIENT")
end

if game.ReplicatedStorage:GetAttribute("GLOBAL") then
	print("CLIENTREP")
end

Output:
image

Basically the attribute replicated for ReplicatedStorage but not game.