A concessioner that has possessory interest in real property improvements pursuant to the terms of a 1965 Act concession contract, will, if the prior concessioner does not seek or is not awarded a new concession contract upon expiration or other termination of its 1965 Act concession contract, be entitled to receive compensation for its possessory interest in the amount and manner described by the possessory interest concession contract. The concessioner shall also be entitled to receive all other compensation, including any compensation for property in which there is no possessory interest, to the extent and in the manner that the possessory interest contract may provide.