Hi Ethan,
The demo site was not configured or optimized for the export of machine readable data. Its purpose is purely for demonstration of the search, discovery and data entry interface features. In the future, upgrades to the demo site may include the ability to view and access machine readable data via API, as this is absolutely a feature of Arches we would love to highlight.
In general, the extent to which an Arches instance is able to export machine-readable data out and how it does so is entirely dependent on how the implementers of that Arches instance configure their system and model their data. For example, the Arches instances that Rob and Lily manage are configured and optimized for use cases that require the kind of output you are looking to create. However, not all Arches instances have use cases that require this.
I hope this information helps. And definitely, thanks to Rob and Lily for offering their examples.
Thanks,
Annabel
Getty Conservation Institute / Arches Project team