I haven’t done an audit of either but here are some points to consider:

1. Brave is built on top of chromium, so it “by default” exposes lots of new APIs that Google is introducing that make fingerprinting easier if not outright invade your privacy. For example see https://mozilla.github.io/standards-positions/ and look at the “negative” items. Many of them such as Web NFC, Web Bluetooth and WebUSB API are against because they don’t have adequate protections against fingerprinting or other privacy or security concerns. Brave seems to do a pretty good job removing or disarming these APIs but they are basically trying to keep their balance on a shaky and antagonistic foundation.
2. On a similar note Google pushing these APIs work because of the greater market share. Again, derivatives can provide some resistance by disabling these APIs but unless all of them block the same APIs they will still be available widespread. So using a Chromium-based browser harms the entire web over time by allowing Google to have control. Right now Firefox (and derivatives) and Safari are the only browsers that you can use to truly oppose Google’s control over the web platform.