I just remembered/realized this morning how much of an influence John Wetton was on me, especially on the live King Crimson album USA. I feel like I am equally proficient with pick and fingers, but I play totally different depending on which I am doing. As mentioned, the physical movement of the pick results in different rhythmic approaches, which in turn affect my note choices. Not sure that I play more melodically with a pick than fingers, but definitely different.
On a similar note, we had another Northern California Alembic Gathering recently, and at one point while I was checking out a nice single-pickup Distillate through my amp, a couple of people detected a strong Chris Squire influence. Whether it was really there, because I was playing with a pick, or because of the (slightly distorted) sound I was getting I don't know, but it felt and sounded good to me!