Well, there is one clearly obvious theme here- in the game the demon weapons are red and the angel weapons are blue. If the motif continues to these characters, it could mean Dante and Vergil are fraternal twins and Vergil in fact has more angel blood in him than Dante.
Of course, with Vergil being black and blue, but Dante being white and red, it could go both ways. A fallen angel, a demon in disguise, and a phoenix rising from mediocrity.
With this Dante's character design, I just don't think vibrant white hair would suit his normal form. One major point of this reboot is to make the characters more relatable and believable, and throwing oversaturated colors all over someone's torso won't do that.