The rules are what they are. It seems cooperating with the media is one of those rules. The link is for the 2020 rules but I doubt much has changed regarding the media.
LINK
Article I, Sec. E., of the Grand Slam rule book.....
E. PUBLICITY, PROMOTION AND DATA Each player grants and assigns to the events that he enters, the right in perpetuity to make, use and show from time to time and at their discretion, motion pictures, still pictures and live, taped or filmed television and other reproductions of him during said events and in connection with the promotion of said events without compensation for himself, his heirs, devisees, executors, administrators or assigns.
Each player also agrees to cooperate with the news media and to participate upon request in reasonable promotional activities of the Grand Slam Tournaments. Such activities by a player shall not be represented as an endorsement by the player of any product or company. In addition, it is understood and agreed that all rights in data in any way produced and/or generated during the events (Data), including but not limited to statistics, live scoring and Player Analysis Technology data and similar data, shall be vested in the events and shall be available to them for their use, including licensing, assignment and/or other promotional and commercial purposes. To the extent any player has any rights in the Data, the player grants and assigns those rights irrevocably to the