In this analogy, you are busy while you are making your sandwich (because you are putting it together from stuff you got from your fridge).
In the library-with-free-delivery-service analogy, you can do other work while you wait for data from the library/RAM to be delivered.
Modern superscalar processors can re-order non-dependent instructions while waiting on a memory lookup, and that is what the free-delivery-service aspect of the analogy illustrates.