Elegant way to include only published posts with get_objects_in_term()?

The obvious way is to iterate through the resulting array of IDs, get_post for each and test against post_status == 'publish'. But I wonder whether this could cause memory issues since get_post will attempt by default to cache each result? Short of a custom SQL join, are there any surprise args one can pass to get_objects_in_term() or is there some other tax function I’m not leveraging that I should be?

You can add 'post_status' => 'publish' in your query to retrieve only objects with status publish , this will work for get_posts, query_posts or $wp_query and to include also custom taxonomies you can use tax_query in your args list