Look like they now stopped giving rewards.
To me , look like browser itself is a wallet as it have some master key (that is asked to be stored at safe place). Actually I use it just for playing one of game, is it can be reason that all my rewards are donatable to publisher. I did not still used it for normal surfing.
You really won't earn any BAT unless you don't manually turn on Brave Rewards. It's turned off by default. Again, the 4 BAT you received are specifically given for you to donate to publishers and nothing else regardless of what your intention is on using their browser.