Because in your world, it makes sense to have a crony capitalist with a database of CIA agents.
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I get what you’re saying but there are some unique non-profit companies who have long established, trusted relationships with the government who could do this better than contracting out to a ‘crony capitalist’ or attempting to establish yet another bureaucracy. Relying on incompetent and uncaring bureaucrats to process clearances and safeguard the information clearly hasn’t worked well.
I think a third alternative like this has merit and should have been seriously considered, but the drive to expand government never ends.
It was private industry that faked a lot of the background investigations a few years ago. It was the government side who let all the data out the door and didn’t tell the victims for a year and a half. No one was ever really held responsible in either case, which is the larger problem.