No.
Damage wise it would be fine, since grief all the damage you need.
So you want a fast weapon, to hit hard and fast, crystal sword is pretty slow compared to the usual phase blade we use for grief.
Just get a phase blade, they are not that hard to find/expensive you don't need a superior base it almost don't add anything.
Also phaseblade are indestructible, so you don't need to go to repair your grief every 5 minutes.
TL:DR No, don't use that.