Wizards of the Coast reserves the right to publish DCI-sanctioned tournament information at any time (including during the tournament). Tournament information includes, but is not limited to, the contents of one or more players’ decks, descriptions of strategies or play, transcripts, and video reproductions. Tournament Organizers are also allowed to publish this information once their tournament is complete.
At Premier events like Grand Prix and Pro Tours, Wizards of the Coast often has online coverage of the event. This section is explicitly state they are allowed to publish lists. Tournament Organizers also have the right to publish this information after the event ends, but some TOs receive permission to handle the coverage similar to Wizards. For example, Star City Games Opens regularly publish decklists on the Star City Games website during the event or Top 8.
Wizards of the Coast reserves the right to publish penalty and suspension information.
Wizards of the Coast will often report on disqualifications or other high profile penalties during Pro Tours.
While this statement says that Wizards can publish a list of players who are suspended from the game, they do not. This decision was made in 2019. Since then, outside of specific public articles, there is no way to tell if a player is suspended. If a Judge or tournament official attempts to register a suspended player, the Wizards event software will notify them, assuming they didn’t just use a new email address or DCI number.