I should have written an issue for this, but it all came together in my exploratory branch.
We want the coathor data to be publicly available in the REST API when you're embedding a post, but otherwise restricted by capabilities. The embed context already delivers a limited set of data for a any given taxonomy term, so I just needed to add some "profile" data to match our specific use case.
What Was Accomplished
Updated the permission callback for the author taxonomy to allow public access in the embed context.
Added a filter on rest_prepare_author that adds a profile property with sub-properties of link, display_name and media.
Related Issues
What Was Accomplished
rest_prepare_author
that adds a profile property with sub-properties of link, display_name and media.How It Was Tested