I've studied classical guitar too, for years - self taught though mind you. Probably not the best way to learn classical but I did reach quite a level of proficiency, I can get through most Bach pieces for instance.
In actual fact I haven't used a pick on a regular basis for at least 20 years. When I first started in '88 or so I used one, and I was in thrash bands when I was younger doing a sort of Kirk Hammett type thing....but sometime in the early 90's I found that I connected with the guitar much better by using my fingers and have played fingerstyle ever since. Even for lead playing. When I played classical I would use p-i for runs, but I find that when improvising other styles like rock, blues or jazz I naturally tend towards my thumb and 2nd finger, I guess like Mark Knopfler. I've incorporated a lot of picking styles in my playing, especially folk styles - I'm currently collaborating on an official book of Bert Jansch transcriptions and have also played a lot of banjo-style chickin' pickin. But for some reason I never flicked the strings like I did tonight, and I really liked the effect.