At 0:18 Ninja Theory admits this game is not Canon to the true franchise of Devil May Cry.
"It doesn't take place chronologically before or after the other games."
Some websites will block you from commenting but you can here. I'm not getting this game. It's not the same world where Lady, Virgil, Nero, or Trish are. This game makes it so that all the other games, the anime or manga don't count.