Another thing algorithmic search allows for is meandering through data sets.

With an LLM, you have this ping-pong discussion, where you refine your request and try again. Or you ask the LLM for a suggestion.

With algorithmic search, you slowly fiddle with the data set's structure (symbolized by the controls) and watch the results mutate in real time. That means that you don't even have to know what you are looking for, when you start out. You can simply peruse the selection, like wandering around in a library and looking through the shelves.