Brave's long-term vision aims to end the arms race between advertisers and blockers. They're not there yet, but they're (allegedly) going to start injecting their own "friendly", non-tracking ads into the pages that you visit, replacing the ones that are already there. So, if publishers sign up for Brave's network, they can still fund their site with advertising revenue. Then, users will have the option to accept ads and get paid for it (in BAT) or to reject ads. We'll see how it works in practice, but they do have an actual plan for what comes afterwards.

I tried paying Steemit with BAT tokens every month from my brave browser last year, but they have not enabled their web site to accept them. At this point, I have switched my Steem browsing almost entirely to steempeak, and they have enabled their site to accept BAT, so it's easy to support them that way (along with beneficiary rewards).