I would think probably after the regular version gets repaired, since it's my guess that HB Online Lite draws from and uses much of the main game's information. But no one knows when that will happen. The maintainer of this set of websites is a busy man, and HB Online is not his main focus at this point in time.
(Seeing as there are about 4 other threads about the game problems, a new thread wasn't quite necessary for just this.)