There are as many different thinking "styles" as there are personality types. But we obviously cannot be aware of our unconscious reflections - by definition.
Every student of chemistry remembers Kekule, to whom the structure of the benzene ring came in a dream. Apparently for many people, not thinking about something can be a way for the mind to think about it.
From the Science Times article:
Snap judgments about people and places can be remarkably accurate, and there is no substitute for simple logic and reflection in determining questions like which alarm clock or cellphone is the best value.
But many more important decisions — choosing the right apartment, the optimal house, the best vacation — turn on such a bewildering swarm of facts that people often throw up their hands and put the whole thing temporarily out of mind. And new research suggests that this may be a rewarding strategy.
In a series of experiments reported last week in the journal Science, a team of Dutch psychologists found that people struggling to make complex decisions did best when they were distracted and were not able to think consciously about the choice at all.