Frank, the newer labels that say "Arte Murano" are generally not made in Murano. For example, ICET Arte Murano is made in Venezuela. The Arte Murano of the labels from the 1970s and later mean that the glass is in the style of Murano, but are not made there. Some of the old Murano paper labels from the 1950s and before had the words Arte Murano on them, but they are Muranese. It gets confusing. The Lavorazione labels don't make any claims other than the pieces are made in Italy.
Labels and descriptions of vases can be misleading. For example, there is an abundance of "Italian design" vases on eBay that are made in China. Maybe someone named Giorgio who was born in Florence before moving to China designed them. They would be an Italian design, even though they had nothing to do with Italy.