My 2 cents is that creative people are creative people - no matter the medium they work in. I think truly creative people will be compelled to learn and experiment in any medium they can because they inherently know that they wouldn't want to pass up a vehicle of expression and limit themselves.
Performing a mere function can be taught. True and innate ability and creativity - the desire to express yourself in profound, meaningful ways - cannot. If you are a programmer, let me offer an analogy; How many programmers have you known who can make intuitive leaps in logic and how many have you known who simply stitch together things that have been cut and pasted? The difference is profound and the latter cannot be taught to be the former.
That being said, I've never met a true creative that didn't doodle with paper and pencil, incessantly. I have met plenty of digital artists whom I consider to be pseudo-creatives. There are so many, SO MANY, people who fall into that category because of the powerful software that replaces and clouds real talent. The moniker "digital painter" makes me shudder. I could die happy if I never saw another computer generated fractal.
Now, in full disclosure, I fall into joebert's category of having been brought up in the traditional, and to that end I have to point out that the sublime and tactile experience of pencil/pen on paper, paint on canvas, clay in hand, etc., cannot be replicated with a mouse or even the best digital tablet. The difference, in some cases, is analogous to the difference between internet-porn and a lover.
However, in the end, I'd say it's not really a matter of one or the other. Traditional, tactile media will never go away. It's existed as long as humanity has. It's immediate. It's instinctive. It doesn't require an electrical outlet. It can come from a charred stick and a cave wall. Digital media, on the other hand, offers so many advantages and exciting possibilities to a true creative, that it cannot be refused.
Try everything, at least once and be honest with yourself about whether you are being creative or being a software operator. 🙂