At the moment Add Data wizards can create four things in Elasticsearch, an index template, an index pattern, an ingest pipeline, and new indices with data. Hitting the delete button on the edit pattern screen in Kibana will currently clean up the pattern, template, and pipeline, but not the actual indices and data. Usually that's the desired behavior, but the user might occasionally want to clean up everything created by an Add Data wizard, especially when using wizards like CSV that otherwise require no work from the command line.
Bonus points for advanced options for cleaning up user created items as well, like saved searches and visualizations linked to that index pattern.