Will this DataStore still save data even if the player changes their username?

So, I was wondering if my DataStore will only save data if the player doesn't get their username changed. How can I fix this? I was wondering if I should acquire their user ID instead of their username but I'm not sure how to do this.

game.Players.PlayerRemoving:connect(function(player)
    local datastore = game:GetService("DataStoreService"):GetDataStore(player.Name.."Save") -- ??

local statstorage = player:FindFirstChild("PlayerStats"):GetChildren()
for i =  1, #statstorage do
    datastore:SetAsync(statstorage[i].Name, statstorage[i].Value)
    print("saved data number "..i)

end
print("Stats successfully saved")   
end)

game.Players.PlayerAdded:connect(function(player)
        local datastore = game:GetService("DataStoreService"):GetDataStore(player.Name.."Save") -- ??

    player:WaitForChild("PlayerStats")
    wait(1)
    local stats = player:FindFirstChild("PlayerStats"):GetChildren()
    for i = 1, #stats do            
    stats[i].Value = datastore:GetAsync(stats[i].Name)
    print("stat numba "..i.." has been found")
        end
end)