Lobotomizer can't remove adrenaline.
I played against Stymie's Life/Air deck in the Top50 a couple times, and the AI always played Adrenaline on a Cockatrice. I was able to lobotomize the Cockatrice and it removed the ability name from beneath the card, but the green "angry eyes" icon remained and the Cockatrice continued to attack multiple times per turn. This has happened in two different matches.
I've been told that Adrenaline should be removable, so this appears to be a bug.