@newuser11 Brave already randomizes your fingerprint in a wide range of ways (far more than what Ungoogled Chromium does, in a more sophisticated way). https://brave.com/privacy-updates/4-fingerprinting-defenses-2.0/ has more details if you’re interested.
@anon96517976 is exactly right.
I’ve replied in more detail here: https://github.com/brave/brave-browser/issues/20268#issuecomment-1003189602
The short of it is that for an-unpopular site (like https://fingerprintjs.com/) UA + time of visit + screen size probably is a pretty good predictor of whether you’re the same person. But there is so little fingerprintable information in these inputs that this approach straight up will not work on a real-world popular site.
I also describe more reasons why Brave users should be confident they’re protected against this form of fingerprinting in the issue, along with additional randomization based defenses we’ve just released or got lined up for Q1 2022.