I say, heck yeah. It would defeat the purpose of any character, since (I hope) you'd be able to just make a Dante 2.0 with everyone's moves.
... but honestly, I'd rather just see them use the time to just flesh out existing characters. Give Nero at least 2 more swords, give Vergil new weapons outside of Beowolf / Force Edge / Yamato. Dante already has a large variety of weapons, but... give each weapon a full set of moves.