I feel so sorry for Frank! I'm actually somewhat angry at L, for putting himself in danger and causing Frank to feel guilty and concerned. But that's good for an interesting story...
It's probably a good idea, to keep anything L-I-G-H-T quiet around L from now on. His obsession will shift to a psychotic fixation, a la Beatrix "the Bride" Kiddo, and it'll just stir him into a maniacal tirade if he hears his enemy's name mentioned. He'll want to say something about it to Frank, though.
As soon as Light's player hops online, I will see about getting this in motion.