Show additional details shows for data references and I think case references, from re-reading your post you are using embedded data?
Though you have said card, so that would suggest data reference… If you can share some of your configuration can point you in the right direction.
I have some images from our recent webinar 
Webinar Replay: Achieving outcomes in Constellation: Solution Designing and Building for Success that might help (for autocompletes):
And this for data reference as tables: https://docs.pega.com/bundle/platform/page/platform/user-experience/displaying-links-to-data-objects-in-tables.html