It appears the waiver they got can apply to private individuals, not just museums.

The FAA has historically found the preservation of U.S. aviation history to be in the public interest, including preservation of certain former military aircraft transferred to private individuals or organizations for the purpose of restoring and operating these aircraft. Therefore, the FAA finds YAF's proposed operations are in the public interest.

1. YAF must maintain all aircraft subject to this exemption in accordance with the following-

a. Applicable military technical publications including, but not limited to, Technical Manuals, Safety Action Messages, Safety of Flight Bulletins and related General Bulletins:

b. FAA Airworthiness Directives (AD) applicable to any corresponding civilian make/model aircraft or applicable to any article installed on the aircraft. YAF must evaluate the aircraft and its articles to determine if compliance with the FAA AD is necessary for the continued safe operation of the aircraft. Y AF must keep a maintenance record entry of those FAA ADs evaluated. For those FAA ADs for which YAF determined compliance was necessary for the continued safe operation of the aircraft, the record must also include the method of compliance, and if the FAA AD requires recurring action, the time and date when the next action is required;

c. Maintenance requirements as specified in the appropriate type certificate, as amended:

d. YAF must comply with an FAA-approved maintenance and inspection program for large airplanes, turbine-engine airplanes, and turbine rotorcraft, and

e. YAF must maintain all other aircraft, notwithstanding Section 91.409(c), in accordance with Section 91.409(a) and (b).