I can't say much about Brave, but DDG is into woke culture.
I won't give clear examples because what is considered as woke is different for everyone (for some it's the WHO organizers promoting a blanket ban on plastic straws while they fly their private jets to Davos, for some is Bill Gates telling us to eat bugs or lentil burgers while he can eat meat).
After DDG had their second episode of wokeism in something I was very against, I decided to ditch them. It's just a matter of time before they decide to filter their results (which by the way already happened because they used Bing before, the article mentions it).