Stabbing someone in the back or repeatedly stabbing someone on the floor say would be unreasonable or whether or not your adrenalin is pumping or not. Having adrenalin pumping doesn't make you lose all self control or behave like a total retard - if someone is running away from you you'd have to make quite a conscious decision to chase after them and stab them in the back - that's just pure revenge/anger and ought to be prosecuted.
Adrenaline effects people in different ways, as I'm sure you know it engages a flight or fight mode in the body, it does this by diverting blood from places like the brain to your muscles. Personally I could see it as fairly reasonable if someone went 'overboard' and hadn't been exposed to situations like this before, this is some serious caveman stuff kicking in here, bash skull, save own life.
Tunnel vision is one of the associated effects of adrenaline so again running after someone to muller them whilst may be deplorable again in the context isn't entirely 'surprising'
You write your points from a totally rational state which is fine, but under adrenaline you're not in this state, nowhere near it. I trained for 2 hours under these conditions and I struggled to write my name at the end, seriously.