The provider of the "alternative" browser is also completely supported by the same advertising company, and since this arrangement has begun has shown itself completely uninterested in solutions like this. If anything, it tries to make control over cookies, localstorage, or javascript harder, and to demonize people who would dare to care about such a thing.
Let's be honest: most users don't know what they don't know. Even tech-literate people have no real idea of the enormity and scale of tracking which goes on across the web. And the tech giants love it that way.