this is probably a stretch, but maybe this informs how Italians relate the two names =

Thomas Cajetan (pronounced Ca-'je-tan), also known as Gaetanus, commonly Tommaso de Vio or Thomas de Vio (20 February 1469 - 9 August 1534), was an Italian philosopher, theologian, cardinal (from 1517 until his death) and the Master of the Order of Preachers 1508-18. He was a leading theologian of his day who is now best known as the spokesman for Catholic opposition to the teachings of Martin Luther and the Protestant Reformation while he was the Pope's Legate in Wittenberg, and perhaps also among Catholics for his extensive commentary on the Summa Theologica of Thomas Aquinas.

De Vio was born in Gaeta, then part of the Kingdom of Naples, as Jacopo Vio. The name Tommaso was taken as a monastic name, while the surname Cajetan derives from his native city.