Also, when you do use Redux, as in your nesting example don't pass props through components that don't have any need for them except they propagate the prop to someone else. It's absolutely fine to connect() a component deeper in the hierarchy. Passing everything down is an anti-pattern with Redux, separation of concerns still applies and the props of a component defines the API, don't clutter that API with unrelated things.

Components only receiving props that they themselves need has kept things clean in our massive codebase, and allows you to effortlessly move things about and easily re-use components wherever it makes sense.