Because a day trip gets you the Basilica and nothing else, and the Basilica is not the only thing here.
Within an hour’s drive there is a sixteenth-century Sufi dargah, a Danish colonial town that flew the Dannebrog for 225 years, the site where Bartholomäus Ziegenbalg printed the first Tamil Bible in 1715, a drowned Chola port from the Silappathikaram, and a Ramsar-listed wetland. Almost no operator connects them, which is why the coast is quiet even when Velankanni is not.
Five days also means seeing the Basilica twice — lit at night, and again in the early morning when it is empty. Those are two different buildings, and pilgrims who have only ever come for the day tell us the second is the one they remember.