Fearlessness =/= Courage,
Fear is a rational response, in humans and animals. It's triggered by survival instincts, by the utterly understandable desire to put distance between oneself and the threats to one's well-being.
Logan feels and understands fear all too well. The Wolverine knows nothing of the kind. Violence, blood, screams...this is how it survives.
Hank's blood. Hank's screams. He's pack.
A monster greets the Wolverine's charge, a human body wired into a mechanical spider. Logan would recoil in shock, revulsion, and sympathy for the wretched figure, and the thought that anything could do this to another living being would have filled him with horror.
Wolverine doesn't even slow down. It plunges into the creature's mechanical hind legs first, each of the thick metallic appendages severed by a single long swipe from its claws. As it lands on its front legs, trying to establish a new orientation, Wolverine leaps between them, its arms outstretched, claws flashing in a wide arc as the front legs too are severed.
The creature goes down like a puppet with its strings cut, the corpse's limbs flopping awkwardly, uselessly. But the animal doesn't stop there. Growls and snarls uttering from a foaming mouth, it jumps onto what's left of the Reaver's body and slashes at the casing for the human head.
It fights back...energy blasts washing over Logan's body, wracking him with searing pain as his clothes are burnt to cinders, his flesh badly scorched...but the Wolverine is beyond pain, beyond reason, beyond even the slightest capacity for any human feeling.
All it wants is to draw blood, to cause pain, to bring death. Finally, the Wolverine punches through the face plate, claws skewering the Reaver's brain and terminating the source of the cyborg's power. It slumps to the ground, a mass of blood and bone and steel, and the Wolverine roars its triumph out, the animal's victory echoing through the dark corridors.
Of course, this victory is severely premature, as the animal only saw the Reaver, and missed the foe accompanying it...