What does "Authentic Italian" actually mean?

Sign for La Grotta Del Formaggio sandwiches, London Drugs, Granville Street, Vancouver, BC

I would take "Authentic Italian" to mean that something was actually made in Italy. So, authentic Italian pasta is made in Italy, Parma Ham comes from Parma, and a Ferrari is made in Maranello.

So, unless these "Authentic Italian sandwiches made fresh every day!" are being flown in from Italy (A highly unlikely prospect.) I'd have to say that these are "Italian-style sandwiches".