I have been using Brave Browser for years and never had the thought to collect that BAT token even when they offered a big amount before thru sign up, iirc. The KYC thing is the real problem here and I don't agree with it. I just like the fact that they can block advertisements especially the pop up ones that had been hurting my butt for a long time. It just irritates me to see those ads and some of them are adult contents that I don't like to see by my child in surprise.
Still up to you, just be sure to take a tour to the settings