only if you have that feature turned on. Google also records data outside of maps and timeline, IIRC. I imagine you can always access your complete location history by exporting it from Google's take out feature.
Thats a cool site I didn't know about, however I assumed the innocent suspect wasn't logged into google maps, and that the reporting was done by the device separately.
Afaik you don’t have to be using Maps for Google to track your location. If you have location tracking turned on in your Google account and are for example logged into android Google will get your GPS even if you’ve never used Maps.