I don't think they've been that shady, the worst thing they did was say "we're blocking ads" then said "You can show ads but only through us, and you need a braves token wallet" but else that, I don't think theres much, and when compared to the history of Microsoft and google, which are the major alternatives, that's such a small issue, especially when they also offer so many nice extras.
I mostly use LibreWolf now, at least for my main browser, but I do miss the instant access to internet archive and tor, but I think its worth missing out on, to avoid some of the creep I'm feeling from Brave.
Does anyone have a link to a list of controversy's that Brave has been involved in? I think it'd be good to know, rather than just going of both feeling, and 2 misdeeds.
I dont see any source code, so I wouldn't trust it, especially with the fact that you already mentioned two alternatives that are open source, that will fill the gap.