As someone who lived through those days, that is just straight up not true. The only measurable advantage that Chrome had over Firefox was in Javascript performance, because V8 was superior to the JS engine built into Gecko before the SpiderMonkey project started.
Chrome won off mindshare, not off technical superiority. Everyone /assumes/ technical superiority because it's Google, but that's just not accurate. At best, you could count in Chrome's favor their early support for "web standards", because most of those standards were invented at Google, stuck into Chrome, and then only afterwards standardized so that others could make use of them. While the Chrome team at Google has done good work and an immense amount of work, they didn't start from nothing, Blink is a derivative of WebKit and didn't even diverge with the fork until 2013. Webkit itself didn't exist until 2001, when it was forked by Apple from KHTML (developed by the KDE team as a community project).
The story of Chrome is the story of "embrace, extend, extinguish" from the Microsoft playbook, done by an even more powerful and influential technology giant being played out. It is not the story of technological superiority, nor was there any strong technical reason why Google couldn't have contributed their work into the open without creating their own browser. Even with Chrome, other than the development of V8, they contributed all of their work back to WebKit until 2013 when they forked.
No surprise that Google regularly makes changes in its applications which advantage Chrome, penalize competing browsers, and still advertise Chrome on the front page of google.com, the most valuable ad real estate that exists anywhere.