I was wondering whether or not I could shorten my script a little using this but I'm unsure if there was a difference.
There is not really a difference because workspace is like one of the main tabs (like starter player, server stoarage, etc) the only reason you would use "game" is so that your code will be able to find the workspace. So in conclusion the reason you should add game is because workspace is inside of your game
There is no difference. It's recommended to use workspace however. Other options include:
game.Workspace game:GetService("Workspace")