I have never been asked to do verification.
They rewards are paid monthly afaik and processed directly to your wallet, there is no need to do anything else.
You shouldn't have to do anything to earn these rewards either - if you want to increase your rewards the max you can do really is to increase the time you spend using Brave. I have it as a secondary browser and I earn around $0.5-1 per month, not too shabby for doing next to nothing.
are you using their new wallet? because if it is uphold or gemini, they require KYC, that is, if you will link your brave to these wallets.
i haven't tried the new one but if you will just connect via metamask, for sure, there's no need of KYC here.
the good thing about earning BAT, is that if you will just use brave as your main browser, just forget that you are earning while using it. it is free so why not? but of course, don't expect high earnings. because it depends on the ads that you will received per month. just accumulate and after some time, you have free money.
I haven't gotten verified because they never asked me to...? So I just assumed that I can keep doing it without having to do KYC.
I don't use Metamask, I just use the proprietary wallet that they've given me on signup.
In fact, I've got like 2 separate Brave wallets across 2 devices without any issue/verification. I do agree, it is overlooked, people should use it not only for the rewards though but Brave Browser also protects your privacy in the process.