I haven't seen anything yet on whether Brave will support it, though if I'm understanding correctly, they won't have a choice since they're using Chromium. Hopefully I'm misinformed.
Note that "safety and security" has become an abhorrent phrase among many of us because it evokes the "authoritarian dystopia" that Google et.al. are creating --- we're more concerned about freedom and interoperability.
That was the intention behind my choice of words — representing the whole web, not just components of it or companies operating on it.