I appreciate analogous cases are often not helpful, but in the UK some institutions like the national library of scotland are so-called "copyright libraries" and they have always restricted access to people who register and declare an interest grounded in research, or some gatekeeping around legitemate need otherwise. In many instances the documents held in these institutions are both rare, and contextually unique. Like paleological holotypes their role is different to objects on display in museums and collections.

I also believe in the general public's right to see and access things which relate to government. I'm just trying to point out that whilst this probably is reactive to current affairs (cost management? risks? FUD?) there are reasons and situations outside the USA where this is normal, and I do not mean "has been normalised to disadvantage you" -I just mean that identifying who you are and why you want to do something isn't that unusual, in archive access.