Okay, I know your reading comprehension is selective, but I clearly said that the Dalish are forced to flee an angry mob of humans even if Mahariel and Tamlen didn't kill any of the hunters. Therefore, the Dalish were hardly not allowing humans to safely travel the forest, it's the other way around. Additionally, the Dalish are nomads and have no lands because of humans, and the human reaction to their simple presence in the forest is being construed as a threat.
It's both. The Dalish held the act of murder/no murder over the humans who approached, just as the humans were a threat to the Dalish presence in the area. Both sides were in a position to dictate the safety of travel in the forest, which is far beyond a simple presence.
What right do humans have to dictate that elves cannot subsist on the same resources? Oh right, sharing with elves is out of the question and unreasonable... because the elves dare to be rightfully suspicious of humans riling up mobs to drive them out regardless of how merciful they are. 
Sharing implies mutual distribution. The Dalish would have to give something back. If the Dalish receive Human resources to leave in peace, they're being bribed. If the Dalish take local resources the Humans base their livelihood on, they're acting as locusts.
It's hard to say the Humans aren't just as rightfully suspicious of the Dalish as well when the context of the encounter is one in which murder isn't even treated as a taboo. The objection to murdering the human isn't 'holy crap you're a murderer!', but 'sigh, we'll have to move now'- the same resignation and conclusion you get if you don't commit murder.
Both sides face legitimate threats from the other.