In the USA, a pilot can obtain an AEA (authorized experimental aircraft) rating to fly demilled surplus military turbojet-powered aircraft under FAA 5-1580(A). Part of its requirements are to have logged a minimum of 1,000 hours pilot flight time, including 500 hours as pilot in charge.
But, AFTER someone has their private pilot's license, are they then able to log some hours in an FAA-approved AATD or BATD solo (without instructor) toward their 1,000 and/or 500 hours required for the experimental rating? (Perhaps even using a simulation of the surplus military aircraft they want to have authorization for?) Or, is that level of distrust from un-verifiability still there after someone has their private pilot's license?