Question

What accounts for the variation between the postwar situation in italy and that in hungary?

Answer 1

Italy was in the U.S. sphere of influence, while Hungary was in the Soviet sphere of influence.

Answer 2

After the war the Red Army occupied Hungary and the country entered the Soviet orbit,  while Italy entered the orbit of the United States.  When the war ended,   the United States occupied Italy until its plebiscite. After the Second World War Hungary was part of the Eastern bloc.