The distinction doesn’t matter that much in my mind, because Chromium reskins give Google just as much power over the web as Chrome reskins would. If for example the marketshare of Edge and Chrome suddenly traded places, very little would change in terms of Google’s control of the web.
Chromium/Blink being FOSS with Google also by far being the most dominant contributor essentially allows them to wield the same sort of power over the web that Microsoft once did, except this time it’s been whitewashed with an “open” gloss that helps keep the regulators off their backs.