This has come up with prior NDAs with administration officials and so far they don't hold up.
Technically, these officials don't work for the President, they work for the United States. As they also have to do with government function and they aren't discussing classified information, there is a first amendment issue.
Https://www.reuters.com/article/us-otc-nda-idUSKBN1GV2UT Finally, the big question. If they are all lies as claimed, then technically nothing was disclosed so the NDA wasn't violated. If they are claiming NDA violations, that is in part an admission that what was disclosed was true.