Safety & Privacy:
I think your question is more about why people should own vs. rent/loan drones rather than why we should have them.
In a future where drones became invasive and disruptive, photoing everyone at all times, possibly being hacked frequently and used for crimes and murder, you could have deeply restrictive laws about where drones can go and how they can operate. Drones have come to replace many vital functions in your society, but if every flying drone has to have a traceable owner who is legally responsible for how it is used, there is a strong motive for people to buy one for themselves. If you want to have delivery, there are no more delivery drivers due to drones, and now the delivery drone industry is out of business. Each drone legally needs an operator, so running the family drone becomes a real job opportunity.
Poor families have to get near-obsolete drones that constantly break, while rich folks have the latest models and multiples. There would still be a small business model for drone "rental" but the drones would need to be under a personal control at all times and the rental place would be on the hook for the actions of their clients.
This is laborious, as people have gotten used to autonomous drones, so the pressure would be to make off-line drones immune to hacking, only then the individual drones need to be smarter in order to do all the things they could before. They will start resembling the classical "household" robot from classical science fiction stories.