After some rigorous testing, I have made this straight to the point video detailing how even though the Curseblade Cirque is very OP, but there is sadly a bug preventing it from being utilized to its full potential.
It makes zero sense that you can attack faster than dodging after performing the weapon's skill "Deadly Dance".
Therefore the only conclusion is that this skill is currently bugged. And it absolutely deserves to be fixed as the weapon has insane potential at being one of the best successive hit weapons in the game.