The document discusses the need to rethink online SPARQL querying to enhance incremental result visualization, particularly in dynamic web contexts where traditional techniques may fall short. It emphasizes strategies to optimize response times through improved routing and prioritization of data retrieval as well as the implications of using monotonic vs. non-monotonic queries. The document concludes that prioritizing data retrieval during query execution can significantly reduce response times while also highlighting the necessity for careful consideration of language features and dedicated optimization techniques.