We don't own or claim to own the copyright for product text and images. And make this clear with the store name, brand name, website, and more. That all said, we may be able to add a field on the Product Detail API that makes it clear who owns the copyright. https://docs.searchagora.com/api/endpoints/product-detail
>Which legal entity will end customers have a monetary relation with?
Using the Agora API, you become the merchant of record. Customers have a relationship with your app (i.e. Agora is hidden to the end customer). We are working on providing support for passing the payment to the end Shopify or WooCommerce store. We imagine having several payment flow options in the future: process payments on your own Stripe account, process payments with Agora, or pass through payments to the stores.