If you could implement just one component for any given feature, it would simplify your job. At the very least, there wouldn't be many components to maintain, and there wouldn't be many communication paths for data to flow through, because everything would be internal to the component.
However, this idea doesn't work for a number of reasons. Having monolithic feature components makes it difficult to coordinate any kind of team development effort. The bigger monolithic components become, the more difficult they are to refactor into something better later on.
There's also the problem of feature overlap and feature communication. Overlap happens because of similarities between features—it's unlikely that an application will have a set of features that are completely unique to one another. That would make the application very difficult to learn and use. Component communication essentially means that the state of something...