Short descriptions (sometimes referred to as "taglines" or just "descriptions") are short few word snippets provided to give a reader an idea of what an article is about before reading it. English Wikipedia is aiming have a short description for each article. It would be helpful both as a reader and an editor to see the short descriptions in the search suggestion.
Prior art:
When generating the search suggestions, the skin MinervaNeue uses the "query" API action instead of the old/deprecated "opensearch" action. "query" returns all(?) of the information that "opensearch" provides and more including a description attribute. MinervaNeue uses that description to display the short description under the title.