No they don’t, they manually merge code from upstream if they like it. Since Brave doesnt like it they wont merge it.
Not everyone has the resources to maintain their own Chromium fork and it's not easy to keep up with Google, Microsoft, Samsung, etc. Just look at Firefox.
Look, Google controls Chromium and they have the resources (and incentive?) to keep these smaller browsers running in order to keep up with them.
Source: I've collaborated with / worked on Brave in the past.