Update: I managed to get it to import all the events by using the public URL for the event summary page (e.g. https://www.eventbrite.com/o/kadampa-meditation-center-washington-16983780040).
If that is the expected way to get all the events from an account, please update the documentation linked to in my original question because it implies that there is an option to “Import from your Eventbrite account”.
Thanks!