No, the icon will definitely have representation. It won't be something silly like Dr.Kawashima (he's a human for one, and two that would give him the Brain Age logo). A Mii is the number one candidate because the DS I guess represents Nintendo hardware (the DS icon looks better than putting a Wii).
Another potential DS rep is a stick figure. You don't draw him, he has pre-determined stats and moves. He attacks primarily with a Stylus (sword user lol). That would be extremely WTF!
I'd actually like a Mii rep with customizable faces. I'd stick Homer there is they has a Wii Sports moveset (Homer has boxed, bowled, played baseball, play tennis, and golfed). Homer v.s. Peter Griffin...EPIC!