The first thing I look for in a React contender is how to write a stateful component and how to use that in another component. It's not clear to me how to have local state. Maybe put that on the front page?
As for components: you are correct, there are no examples of components on the first page. There is one in "Getting Started", but that is a pretty simple one with the state defined outside of the component. That said, "components" in Callbag-JSX are just functions, "stateful components" are functions with closure. Though perhaps I should elaborate on that further.