The problem with a chef knife or cooking knife is, sure the blades are large, but the handles are always smooth since they are designed to be used on meat which is already ready for cutting--from the supermarket. If they are used against a person who is moving, and bleeding, the handle would get very slippery and the person wielding the knife might well end up cutting their own hand.
This sort of crime, with all of the stab wounds, would almost surely be a hunting-style folding knife, with a good knife guard, and a slip-resistant, rubber handle. I say probably a folding knife since the deepest wound was 3.75 inches, which is too shallow for a fixed blade "fighting knife" used by military and/or survivalists.