Brave is (and was partially) based on Chromium, not Chrome.
Chrome runs on Chromium, but so does Vivaldi, Opera, Slimjet, and many, many other browsers.
Chromium is open source software that acts as the software that connects the computer to the internet. Chrome adds sync and other Google connectivity and interactivity. Chromium does not track, send home to Google, or anything else you might be concerned about. Chrome does those things because Google made it do so.
It’s no different than the Gecko engine that runs Firefox also running Seamonkey and Palemoon browsers.