> from mixins, to HOCs, to render props, and finally to hooks.
While each item in the series is "more functional" in some sense, the progression itself is not something reflective of some kind of standard progression of concepts or techniques within functional programming.
I'd say mixins have nothing to do with it; HOCs do in the sense that they're similar to higher-order functions (I suppose they literally are if the component is a function component); render props is pretty much purely a React concept to my knowledge, hooks I've heard described as "similar to" algebraic effects (this seems like an accessible article for more info: https://overreacted.io/algebraic-effects-for-the-rest-of-us/).
So I don't think there is any logical next step. To me it just feels like a series of individually thought out refactors, each leaving us with a system that's a bit more clean and compact than the last.
More broadly speaking though, I think any significant such changes will have the property of reducing impedance mismatch between React and some Platonic ideal of functional reactive programming (applied to html/css generation).