Dear Harry,
I cannot speak on behalf of the Library's rules as I am not affiliated in any official way.
But speaking from personal experience, I am an American doctoral candidate living alternatively between California and Kathmandu and I have had no problems ordering digital copies through the Staatsbibliothek zu Berlin. In fact, several years ago before they created the online webshop, one previously had to email a librarian directly to request a copy. Back then, when I first reached out to establish a relationship with one of the librarians, I even stated clearly in my introductory email that I am an American grad student and she made zero objections.
Sincerely,
Westin Harris
Ph.D. Candidate
Study of Religion
University of California, Davis
The Robert H. N. Ho Family Foundation Program in Buddhist Studies
Sarva Mangalam.