I don't think there's a 'right', just whichever someone prefers to work in. Myself, I work almost entirely in digital. I did a fair amount of work in traditional media when I was younger, but when I got to college I got a tablet. Now I just do all digital--for me, it's nice because I'm left handed and I don't have to worry about the smudges.
THE SMUDGES.
I don't really get gift art, but if I did I wouldn't care what media it was in! It's the thought and effort that went into it that counts.
(And as for the cost, both traditional and digital can be varyingly expensive. I was briefly an art major in college, and had to spend a lot of money on supplies for classes. Not to mention having to get a scanner if you plan on digitizing your work to share on the internet. A tablet can be as cheap as $100 or a dozen times more than that.)