running it has a business does not preclude requirements placed upon it by government. All businesses have to comply with government regulations, and a regulation that requires USPS to service rural routes would not preclude running the organization as a business.
It could change things like Frequency of delivery, or other cost cutting but I have advocated for that anyway even for non-rural routes. personally i think residences should get mail delivery on Tue and Thur, and businesses on Mon, Wed and Fri with none of weekends. that alone would be a huge cost saving.