My maths (Which turned out to be slightly flawed because I forgot the AoD's huge armor) assumes that you have berserker and brute 3.
Basically, my AoLT strat goes like this:
Get TaN 2, kill everything with guns as per normal, but pick up the chainsaw on the way.
Start getting Brute traits, kill everything with accuracy modded chaingun, use chainsaw to kill demons and lost souls.
I start running out of bullets just before level 16, so that just allows me to pick up even more consumables. It isn't uncommon for me to have 10 consumables by level 16.
Then, regardless of my chances of survival, I enter the unholy cathedral.
I have TaN 2 (Which is pretty much useless right now because I'm planning to use berserk's +infinity armor bonus to survive), brute 3 and berserker.
Anyway, this strat is difficult because unless I find an accuracy mod quicksmart, I'm going to suffer due to my lack of eagle eye. And by level 6, I'd like to have my cahingun spewing solid death at people but I decided to go all melee instead. Not to mention that I'm relying on around half of my kills to come from a chainsaw, which can be difficult at the best of times.
So when I get 3 runs to the AoD, all of which had 8-10 consumables (One of the luckier ones managed to bring 8 large meds and a homing phase), all of which had a super duper mega chainsaw of death that one-shots pinkies, and they all get tails at the coinflip, I'm obligated to feel a little ripped off.
And killing the AoD without being berserk is indeed impossible because when I said "20 large meds" I was also therfore saying "Only 1 red armor", which is basically the only thing stopping him from killing you in 2 turns.
The main reason its so hard to kill the AoD without berserk is that berserk gives you armor. In fact, it gives so much armor that I think what it's really doing is reducing all damage to one. When the AoD does one damage per hit and hence around 10% damage in 2 turns, you can easily chainsaw him to death while he goes "WHY IS MY SPEAR NOT WORKING!?"