Yet hunting bears can qualify as helping out with supply lines. These bears, I assume the problem is (did not do the quest but think I saw the lets play once) was the bear was hunting people thus making it difficult for trade. Difficulties with trade hurts economic development, an improved economic outlook makes the area more stable, and stability helps the Inquisition and they just might get some windfall from improving economic conditions throughout the Orlesian Empire.
There are actually two bear quests, the most infamous is probably the one in the Hinterlands
http://dragonage.wik...Bergrit's_Claws"A hunter named Bergrit was out looking for large bears in order to collect their claws, which appear to be of considerable crafting value. It may be wise to pick up where he left off."
http://dragonage.wik...A_Bear_to_Cross"A large, territorial bear has been rampaging through the Inquisition camp, scaring people and destroying supplies."
But while the second makes sense as something the Inquisition should take care of, it's really stretching it as something the Inquisitor should handle personally. I guess the Agent quests rather highlight this - you delegate a whole bunch of rather important things, but have to handle the bear killing personally
(To be fair, DA:O had a bear killing quest too)