Last time this was discussed the consensus was Brave does not block it. Brave's fingerprinting protection does not include extensions.
That said, I can't find conclusive info on whether this is blocked exactly. Brave does block "plugins" (which is why I assumed this includes this specific kind of fingerprinting), and the getExtension() call (which is probably unrelated), according to this page: https://brave.com/privacy-updates/4-fingerprinting-defenses-...
But since they don't explicitly mention the chrome-extension URL, you might be right.