When to use "Clicked Object ID" VS "Clicked Object ID after Search" and "Converted Object ID" VS "Converted Object ID after Search"?

Clicked Object ID and Converted Object ID  - Use these events to track when users click or convert on items unrelated to a previous Algolia request.
 
Clicked Object ID after Search and Converted Object ID after Search - Use these events to track when users click items or convert after previous Algolia request.