I made this site for myself, SimpleSearch.info, as new default browser page. I’m not sure if it actually saves time or clicks (though, for me, it saves at least one click per search), but I find the search experience more pleasant. On desktop, it’s nice to just have these search bars as the first thing that pops up in a new window or tab vs clicking bookmarks in the toolbar or elsewhere then searching. Similarly, on mobile, I like just clicking on one icon for all my searches. The vast majority of my web browsing begins with a search or LLM query.
Here are additional comments on Hacker News, including a few feature suggestions that were implemented, and some similar tools that others have created: Show HN: SimpleSearch – Just a list of search bars | Hacker News