Noodles are basically made of wheat, rice, mung bean, buckwheat, potato and canna starch and is boiled.
Pasta: Durham wheat, semolina and eggs.
But I can see that the word "noodle" comes from the German word, "nudel" so it could be noted as a universal word for pasta as you say just as we say "meat".
With our large Italian and Asian influence here we do differentiate between the two. So I apologise that I got it wrong.

In Europe there is a word that refers to all pasta -"makaron " and it pulls all of it in ( noodles , ziti, rigotony, bow tie , spaghetti , etc..) , regardless shape and size . Kinda like word " meat" just covers all meat there is , so Amy just used name for pasta that she is familiar to her . Noodles are pasta , check ingredients