There is a large literature on learning styles particularly in educational psychology. See for example, the wikipedia page on learning styles.
You will soon discover that there are many different taxonomies of learning styles. Thus, there are certainly more than three "theorised" learning styles.
However, more importantly, there have been some serious critiques of the assumptions of learning styles. In particular, I would question whether people really have important domain general learning styles, and whether pedagogy should be adapted to such a domain general learning style.
I agree that instruction should be tailored to the individual. However, I think that generally it is more effective to consider what the individual already knows (and in some cases, think about their motivations) and tailor the format with regards to pre-existing knowledge and skills.
Furthermore, I think it is generally more useful to think about what makes for effective learning in general, as opposed to thinking about how people learn in different ways.
Learning by teaching
In the case, of learning by teaching, I imagine that this could be a relatively effective learning methodology in general. From personal experience, I know that I learn a lot about a subject by teaching it. It forces you to understand the material. Students can ask you questions which forces you to learn more. Consideration of how to teach the material can encourage a deeper understanding in order to provide a structured teaching experience. The mere fact of spending time on a subject should also foster further learning.
I imagine there are many articles on the topic of learning through teaching.
I found one article by Cortese (2005) who wrote:
The great learning potential inherent in teaching would appear to be
generated as the result of a particular aspect of the teaching process
itself: the encounter with diversity, which on the one hand tends to
increase reﬂexivity while on the other hand tends to break down
resistance to change. ... Teaching also proved to be an important
opportunity for recognizing one’s own ignorance and thereby rendering
oneself open to the possibility of learning.
- Cortese, C. G. (2005). Learning through teaching. Management Learning, 36(1), 87-115. PDF