If Zion was right, then Greg was still alive and had betrayed them. But didn't he do that a long time ago? He must have leaked Claire's whereabouts in exchange for a position, safety, or a comfortable life. That would explain the enemy's relentless determination—they knew exactly what they were after, and they were willing to do anything to get her.
Yes, Beta Greg had forgotten to sever his link to the pack when he fled the territory. But when Zion remembered him a few weeks later, he began hunting down that traitor. The coward hid like a mouse, ran faster than a horse, and was as slippery as an eel.
Each time they managed to track him down, he slipped through their fingers, and the cycle repeated. Eventually, the bastard must have realized he was still connected to the Midnight River Pack—and that's when he severed the link.