Intuitive thinking is empirical by nature and works robustly in Earth conditions. When information is contradictory, incomplete and poorly defined, it seems to work better than digital logical thinking.
Very often life on Earth is illogical and absurd, especially when dealing with mainstream culture, deception and propaganda. The life in such a contradictory world is only possible by running many illogical routines, such as translating outside messages to their opposites. For example, if someone on Earth, other than your mother, treats you too nicely, it is a likely sign of deception, and so on. Logical mind is here at loss. But intuitive mind seems to be more comfortable in deciphering these complex and contradictory problems.
One advantage is that intuitive thinking seems to take a larger portion of the mind, and therefore may be better for tasks where many things need to be considered at once.
Another is that it seems to be guided very much by unconscious mind.
Moreover, it is likely that intuitive thinking allows higher self to be more involved in individuals thought process than discrete logical thinking.
It is also possible that intuitive thinking is more resistant to propaganda and deception.
Generally, people utilize both types of thinking, but proportions are unique to individuals. There are a slightly higher proportion of intuitive thinkers among females.