It is possible that philosophers are expert intuits. They study so much about humans and the human mind, and who knows what else. It is very possible that they have a sense of intuition that most other people do not usually have or acquire. They understand what they are researching or understanding on a different level than us average people.
Yes, I would have to agree that philosophers are expert intuiters. They spend a long time thinking, writing and even researching their ideas. There is nothing concrete about philosophy, making all of it abstract. Philosophers have to use intuition on their ideas, especially ancient philosophers such as Aristotle and Plato.
By definition an intuitor has the gift or ability to understand something immediately, without the need for conscious reasoning. Almost without saying, the most renowned minds in the field of philosophy have all had in some form, this talent. Yes, philosophers are expert intuitors. Are others gifted in the art also? Probably, but the great philosophers all have had the opportunity to put their gift on display.
Intuition is "a natural ability or power that makes it possible to know something without any proof or evidence." (Merriam Webster) Philosophers use the world around them along with past experience and knowledge as reference. That is their proof! Besides, they typically think about the abstract or the unanswerable questions (i.E. What is life? What is God? Etc.), so they do not really "know" anything for sure. They are very conscious people of the world around them. They may understand the world around them or things about it, but it was not "immediate". They are extremely wise people, but are by no means, intuiters.
Each philosopher has his or her own beliefs but I would not say this makes them an intuiter. By definition, an intuiter does not use rational processes. Each philosopher uses a rational process to develop their theories and beliefs. They do not develop theories and beliefs without first applying some sort of concept.