How many days Rome needs
Three days covers the ancient centre, the Vatican and enough of the neighbourhoods to feel like you were somewhere. A fourth day is what lets you slow down instead of route-marching between the big four.
Rome also rewards splitting the day rather than filling it: the classic local pattern of a long morning, a long lunch and a late evening is not laziness, it is an adaptation to the climate that a badly built itinerary ignores.
