anthony's parents hailed from rovereto, a small town in the trentino-alto adige region in northeastern italy.

as for the "swiss scenario", italian-speaking swiss people from canton ticino are culturally italian.
their language, names, religion, way of life, all of it.
most of them are the descendants of italian immigrants (from all over, north, south, the islands).

the way I see it if the US mob okays a making ceremony for a non-italian-speaking american with a remote italian lineage who's never been to italy once and most likely mispronounces his own last name...I don't see any possible hold up for a swiss of full italian heritage to get his finger pricked as well.