Are we obsessed with the Royals? In my opinion some way or other their is an obsession. The high rating of the Netflix series 'Crown' is an example of the unending obsession.
As Indians I think we are always in to our own cultural sources. The obsession to royalty, forts, palaces is seen and they are also a huge source of revenue. Many tourists arrives in India exclusively to visit the palaces. Even the Indians could not marry without an destination wedding at palaces in Jodhpur and Udaipur. The royalty has been exciting since the reign of monarchy and now as it is accessible to all it remains as a mark of richness. Being a democracy, life of the royals doesn't really matters to the Indians but the architecture, the culture, even the etiquettes connects directly to royalty.