From the quoted e-mail: >In the case of a breach of the agreement by one or more of the Bezos Parties, AM is released from its obligations under the agreement,

From the quoted e-mail: >In the case of a breach of the agreement by one or more of the Bezos Parties, AM is released from its obligations under the agreement, and may publish the Unpublished Materials. That's very directly saying that they will publish the photos if Bezos doesn't do what they say.