Yes, I was being sloppy. Nevertheless, they can still only request that particular set of documents. And it’s not to assess a particular student’s status but the school’s compliance with the program requirements. (They can of course check individuals to make sure they’re also complying.) And just from the face of the letter to Harvard you can see they’re going way beyond the enumerated categories of information. Not to mention intermingling other SEVP-unrelated complaints (DEI! Antisemitism!) as to why Harvard is being targeted.

Our immigration system is so profoundly screwed up, and there is no doubt the executive agencies have wide powers to draw on, but they’re not even trying to provide a fig leaf of legality. It’s straight, “Comply or suffer!”