Could this module script be used on a local script without errors?

This question is, in a way, a continuation of an earlier question I asked here. Earlier, I found out that my module script I wanted to use in a local script had yielded due to the fact that some code may not be suitable to run in a local script. The thing is, I'm not sure what can't be ran. Below is the code I wanted to use in my local script to save some data.

-- Set up table to return to any script that requires this module script
local SaveFunctions = {}

local playerData = game:GetService("ReplicatedStorage"):WaitForChild("DataStoreRequiringFunction"):Invoke()

-- Table to hold player information for the current session
local sessionData = {}

-- Function that other scripts can call to change a player's stats
function PlayerStatManager.ChangeStat(player, statName, value)
    local playerUserId = "Player_" .. player.UserId
    assert(typeof(sessionData[playerUserId][statName]) == typeof(value), "ChangeStat error: types do not match")
    sessionData[playerUserId][statName] = value
end

-- Function that other scripts can call to get a player's stats
function PlayerStatManager.GetStat(player, statName)
    local playerUserId = "Player_" .. player.UserId
    while wait() do
        if sessionData[playerUserId] then
            if sessionData[playerUserId][statName] then
                break
            end
        end
    end
    local value = sessionData[playerUserId][statName]
    return value
end

-- Function to add player to the 'sessionData' table
local function setupPlayerData(player)
    local playerUserId = "Player_" .. player.UserId
    local success, data = pcall(function()
        return playerData:GetAsync(playerUserId)
    end)
    if success then
        if data then
            -- Data exists for this player
            sessionData[playerUserId] = data
        else
            -- Data store is working, but no current data for this player
            sessionData[playerUserId] = {
            Level = 1,
            Exp = 0
            }
        end
    else
        warn("Cannot access data store for player!")
    end
end

-- Function to save player's data
local function savePlayerData(playerUserId)
    if sessionData[playerUserId] then
        local tries = 0 
        local success
        repeat
            tries = tries + 1
            success = pcall(function()
                playerData:SetAsync(playerUserId, sessionData[playerUserId])
            end)
            if not success then wait(1) end
        until tries == 3 or success
        if not success then
            warn("Cannot save data for player!")
        end
    end
end

-- Function to save player data on exit
local function saveOnExit(player)
    local playerUserId = "Player_" .. player.UserId
    savePlayerData(playerUserId)
end

-- Function to periodically save player data
local function autoSave()
    while wait(30) do
        for playerUserId, data in pairs(sessionData) do
            savePlayerData(playerUserId)
        end
    end
end

-- Start running 'autoSave()' function in the background
spawn(autoSave)

-- Connect 'setupPlayerData()' function to 'PlayerAdded' event
game.Players.PlayerAdded:Connect(setupPlayerData)

-- Connect 'saveOnExit()' function to 'PlayerRemoving' event
game.Players.PlayerRemoving:Connect(saveOnExit)

return SaveFunctions

Which code should I edit? (Btw, I renamed my module script, which is why I'm using different names from the last question I asked, which I had linked to in this post)