No, it won't.
DMC 1, 2, 3 and 4 Dante's hair is white because it was a genetic trait of his father. That is the story meaning to DMC Dante's hair colour.
Outside the game and story the inspiration for why DMC Dante had white hair comes from japanese folklore where someone with white hair was suspected to be possessed by a demon.
Let's go through the meanings again:
DmC = White hair represents his demonic(and possibly his angel) powers
DMC = White hair was a genetic trait
Are they the same meaning? Don't tell me they are lol