Here's a video of testing for magnetic attraction between the electrodes. Result: no measurable force.
One other issue to think about: if the electrodes are ferromagnetic, the field resulting from current pulses around the loop formed by a short might pull them together. Too much flexibility in the mounting could then cause-latch up.
The difference between a solenoid and this setup is that the ferromagnetic material of the solenoid directs the B field towards the internal slug and completes the magnetic circuit. With parallel wires, if you look at a slice of one of the conductors, the B field goes out in all directions. Making the conductor ferromagntic results in the same B field pattern and does not increase the force. If the ferromagnetic material was in the gap instead, that would concentrate the magnetic field lines in the direction of the other conductor and would be almost equivalent to moving the conductors closer together. The high reluctance of the air gap dominates the magnetic circuit. In an electrical analog, it would be like putting a gold connector in the circuit, but leaving a high resistance air gap instead of touching the low resistance conductors together.
This is also related to CAN's surprise that removing the magnetic material from the core did not change the inductance much.
High L inductors do not just have a ferromagnetic core down the center because the magnetic field lines still need to pass through air from one end to the other. Instead,they either wrap the coils around a ring (toroid), or there is a ferromagnetic core plus a ferromagnetic housing to complete the magnetic circuit. If you think of the inductor as an electromagnet, you need a low reluctance material between the North and South poles to provide a complete low-reluctance path through and around the coil to prevent the magnetic field lines from passing through air. The solid slug in magicsound's inductor has the same problem because the ends are open. If you want high inductance, wind the coil around a stack of big steel washers or a big steel nut.