OH, I'm sorry... I misunderstood your questions. This was also discussed, but it has been a long time ago.
This is based on my observations:
The short answer is, yes. It does help, but indirectly. Increased luck will not raise the chance to get the heartwood rewards, but it does increase the intensity of the items that drop (talis and jewelry mods for example) AND it will increase the odds of getting 2 or 3 items, instead of 1 or 2 items in each bag. Because of that increased number of items, it increases the chance that one of those items is a quest reward, albeit not a huge chance increase. Still, because of the better item mods, it is well worth wearing high luck for quests.
By the way, for longer quests you do not need to wear the luck except when redeeming the reward. For example, getting the Minax Orders from the Citadel and then turning it in, you only need the high luck when turning the deed in.