There is a waiting period before it is a total loss
Carriers typically wait a set number of days before settling a theft, because a meaningful share of stolen vehicles are recovered. During that period rental reimbursement, if you carry it, is what keeps you mobile. Without it the wait is entirely at your own cost.
Recovery after settlement changes ownership
If the carrier has paid you for the vehicle and it is then found, it generally belongs to them. You can sometimes buy it back, and the decision depends on its condition. People assume a recovered car simply returns to them, and once a claim has settled that is not how it works.
What was inside is not an auto claim
Tools, laptops and personal belongings taken with the car fall to your homeowners or renters policy rather than your auto policy. Two claims, two deductibles, and most people only make one of them.