BI isn't necessarily intended to eliminate overhead. It's intended to acknowledge that we're rapidly approaching an economy where there aren't jobs for everyone (thanks to automation and a number of other factors that have been discussed) and to aid the transition to that point.

This doesn't have to be a government function. I do case management, and many of my clients receive social assistance in the form of unconditional cash transfers. They often have poor credit and incidents in their rental histories, so they don't meet the standards required to rent. However, landlords/property managers will grant exceptions if the social assistance is sent directly to a third party with an agreement that rent and utilities are paid first. Since this isn't a complicated or difficult role to fill, it's a competitive space with low fees.