Actually, this is one way in which I kind of understand what Baren Cohen is saying, because I think his definition of Systemizing is nice and open - it leaves open the possibility that the systemizing mindset could be used effectively to be creative.
Quote:
Systemizing is the drive to analyze, explore, and construct a system. The systemizer intuitively figures out how things work, or extracts the underlying rules that govern the behavior of a system.
So, the system could be a method of music composition, it could be an alternative world that you choose to write about in novels or make detailed paintings or drawings of. Its a myth that creativity is completely intuitive and that you have to discard rules entirely in order to do it. Actually, a lot of creativity consists of making a set of rules and then following them, eg. "What if.. this and this and this..." and then you find out what the outcome is.
The system does not have to be something as concrete as, say, an electrical circuit.