What would stop the de-listed sites from appearing in Google search results via syndication/aggregation on blogs and other sites? Seems like they would be putti

What would stop the de-listed sites from appearing in Google search results via syndication/aggregation on blogs and other sites? Seems like they would be putting themselves in a weaker position by letting other sites capture the click-trhough traffic and apply their own spin to the content. In how many cases would the searcher be satisfied with the syndicated/aggregated summary and never click-through? They would have to insist Google de-list sites that link to the content for this to make any sense.