Though Italian Communists, Socialists, Fascists -- nearly everyone remained Catholic.
Incorrect.
You have made this assertion without a shred of evidence.
In point of fact, attendance at Mass in Italy dropped some 40% in Italy between 1880-1940. During this period, for the first time, millions of children were not even baptized.
Pope St. Pius X altered the discipline on the Eucharist intentionally in order to combat this phenomenon and he encountered mixed results.