I now understand that this app is branded as Firefox Search. However, I find it very suspicious that, at least for me, it only allows Google, even though my default search engine is DuckDuckGo. It also ignores Firefox's data clearing, as you acknowledged.

I think it was automatically enabled on my phone because I explicitly disabled the Google app (my only other search app) in my App Settings.

I updated the page to refer to it as "Firefox's Google Search app". A fair name, considering its search engine options.