Why did Admiral Scott choose San Francisco at Cape Esperance despite its inadequate surface-search radar, and did the Americans get lucky?
Short answerThe proposed explanation is that San Francisco had the command space for his staff; the question about luck is not separately answered.
NotesAdmiral Scott's choice of San Francisco is explained here by the command space available for his staff. A flagship needed to accommodate the people helping him direct the force. That requirement competed with the advantage of choosing a ship with better surface-search radar.