As I pain scientist I can tell you that C-fibers firing is nociception, not pain. Hitting your finger with a hammer is not pain, either. That's just a physical event. Pain is a mixture of perception with emotion that takes place in our mind.
Although I agree with Dennett and you about "greedy reductionism", I don't think any philosopher came up with a good understanding of pain before modern neuroscience. I see a lot of confusion of pain with suffering, just like the lack of discrimination between pleasure, joy and happiness.