Ah, it is I that looked too quickly. You are correct, the voltage across the inductor is 0 V once the switch is closed. I now recall going through this previously earlier in the thread.
The continuity condition for an inductor and a capacitor is a consequence of the conservation of energy, which says that since energy can neither be created nor destroyed but only changed to other forms, that the magnetic energy stored in an inductor (and the electric energy stored in a capacitor) cannot change instantaneously. Since the magnetic energy stored in an inductor is a function of current, this says that the current in an inductor cannot change instantaneously. Thus, the current in the inductor immediately after the switch is closed is the same as it was immediately before. Similarly, the voltage across a capacitor must be continuous.
The continuity condition for an inductor and a capacitor is a consequence of the conservation of energy, which says that since energy can neither be created nor destroyed but only changed to other forms, that the magnetic energy stored in an inductor (and the electric energy stored in a capacitor) cannot change instantaneously. Since the magnetic energy stored in an inductor is a function of current, this says that the current in an inductor cannot change instantaneously. Thus, the current in the inductor immediately after the switch is closed is the same as it was immediately before. Similarly, the voltage across a capacitor must be continuous.