Why would I want Google to store my search history? I can look at my search history just fine with my local copy on my web browser.
(Web browsers store previously visited websites)
(Web browsers store previously visited websites)
What? Yes they are! Browser history includes every page you navigate to, including the "search results for 'tps report'" page of a cloud storage service.
This distinction doesn't matter too much though, because having the browser be responsible for this fails in at least two ways:
1. The browser shouldn't need knowlege of how to parse every query language of every webapp you use.
2. The browser can't actually give you the results of those queries. If I search for "tps reports", the browser knows I entered that query string, but it doesn't know what the 15 results were, and so can't, for example take my prior search into account when I search for "12/17/2022" to uprank the TPS report for that date, as opposed to some other report. Nor can it even do the weaker bit and assume that since I searched TPS yesterday, when I search "reports" today, it should consider upranking tps reports.