Customer data that is managed by Customer Account Fields is also stored on the Customer object in Shopify as customer metafields. Customer metafield data is accessible to our automation app, Arigato Automation. Therefore, it is possible to use Arigato Automation to do meaningful things with the data in Customer Account Fields, like sending yourself an email with all the data when a customer is created.
We've created a starter workflow that you can import into the Arigato Automation app. The workflow does not need any customizations, it will always send all data to the store's admin email address. If you have particular needs, this article explains how to manually access the data to use it in automations.
If you have questions, feel free to submit a support ticket.