@Christoph no, both sides need to move along XZ. But you can either move the mounting points individually (basically 2 times the motion system moving in unison, but also possibly allowing to change the angle of the wire in print) or have one fixed mounting point that holds a C with the wire. This is mechanically more easy, and if you mount the C with steppers to turn it out of the way, you can get quite a free cutting. "Roll" so to say
For changing the cutting angle, you'd need to add at least a second stepper orthogonally to the one rotating the C, allowing to "pitch" the Cutter.