Sticking to reducers IS a good idea and it does make things a bit better. The problem with global state goes deeper than that, though.
Often, as you learn about the structure of the data, it becomes useful to change how the data is structured and stored. In global state, you can change that in reducers, sure, but then all the places that render that data have to be updated. You don't have the option to represent the same data in different ways that might be more suitable for different parts of the application. You either have to change them all at once, or synchronize a bunch of states that really contain the same data (which is even worse).
With independent components, you do spend some time synchronizing data across components, but each component has the option of how to represent its data internally, so the effects of changing data representation in one area are usually very local, and each area of the code gets to represent the data in a way that's reasonable for what it's doing.
I'll also add that with independent components, you sometimes get components whose only real job is to manage data. That's actually sort of like a Redux! But you can spin up multiples of them without having to manage an array, and compose them or even nest them without issues.
> (Boilerplate, yes, Redux adds that. But at least it's all in one place, and not scattered throughout your app.)
To be clear, I don't really care about boilerplate. It's easy to generate that stuff, but even if you write it by hand it's faster than debugging implicit, hidden complexity. Boilerplate ISN'T the problem with Redux, as far as I'm concerned.