Maybe I'm missing something but I'm not seeing support for the claims made. First, I never believed NARA had a role in the Mar-A-Lago search. NARA, as the linked letter states, went to the DoJ when they found Classified Documents among the 15 boxes returned in Feb, 2022 (5 months prior to the raid). NARA also informed the DoJ that not all documents were yet returned -- but they had no role in the DoJ's actions to get the documents returned. That is what the Presidential Records Act requires , that NARA, if the former President is not returning documents, gives the DoJ the information and, as law enforcement, the DoJ works to return the documents to NARA. NARA merely informs the DoJ of what documents need to be returned but, per the law, has no role in the DoJ's actions to return the documents. In essence, it is about like you reporting you had something stolen (like your car), where police attempt to find your missing property but you merely give the information, you do not direct the police on what to do.
As for the email that talks of the White House, it appears that the email is informing people that Trump's lawyers have requested access to the documents from the 15 boxes of documents that were returned in February. Though it is hard to tell for sure, due to the blacked out portions, it talks about the White House "made a request" to allow the Trump lawyers to see the documents -- but that the documents had to be viewed in a secure facility. This makes sense to me, based on the fact that the lawyers had requested to review documents where some were classified, that the DoJ would forward that request to the White House -- who is the ultimate authority over Classified Information. The DoJ doesn't have the ability to allow people without the proper clearances the ability to view classified documents, so they went to those who did.
This email clearly refers to the "15 boxes" only, the 15 boxes returned in February of 2022. It says nothing about the search warrant at Mar-A-Lago, even though it is dated after, and the request from the White House is to allow Trump's lawyers to view documents that Trump voluntarily returned in Feb 2022. So what is it that I am missing?
Last, let me poin tout that the author of the Twitter string is "America First Legal," whose President and founder is Stephen Miller -- yes, the Stephen Miller who was a Trump White House aide and is currently working on Trump's 2024 campaign. Given that the documents don't support the claims being made, and that the President and founder of the group is working on Trump's campaign, it would seem safe to disregard this as political propaganda manufactured to try and help Trump's campaign.