The problem with the healing LB is it rarely ever actually helps. The damage limit breaks are always useful, as they can either be used in situations where something needs to die ASAP (The aforementioned deal with Ifrit), or at the very least getting the fight over quicker.

The healer limit, on the other, oftentimes just delays the inevitable. It heals everyone, but does nothing to prevent what caused the damage in the first place. Most of the time, it will allow you to live... probably a few more seconds.