Apart of the wolf wanted to chase after the fleeing Anarchs and rip into them so that they didn't have to worry about them coming back. Apart of that was also because that's how the wolf had been taught to deal with threats. Rip them apart, tear them to shreds, make sure they never got back up again. And he would have but he also didn't want to leave Ash unprotected. The need to protect him won out.
It didn't stop him from pacing the area to make sure they were really gone though. His ears were turned forward on high alert as he listened to make sure the footsteps continued away and weren't circling back around. When he could no longer hear or smell them, his head finally turned to look at Ash.
It had been years since Rook had allowed himself to take the form of the wolf. Doing so always made it so easy to sink back into that feral mind, the one that was even wilder than that of the raven. He was never closer to the beast as he was when he was the wolf. But the wolf was on the same wavelength as the raven when it same to Ash even if his steps were cautious as he approached the Toreador. He circled around him once to make sure he was okay and then the wolf reached out and nudged his hand with his nose.