Damn. This was one fun run. When I got the Grammaton I thought I was going to win. Then when I got the Anti-Freak Jackal I got extremely cocky and started to blow everything I saw away. I guess it was really just too much confidence, lack of healing items and low intelligence that killed me.
In particular, I noticed this in the mortem:
You dualreload your guns! The Cyberdemon fires! You are hit! You die!...
When you have two unique pistols, dual-reloading in the presence of an enemy is the last thing you want to do: other than the blaster (which is self-regenerating to begin with) the uniques have a 2.0s reload time. This means 4.0s seconds for the both. Depending on your build, picking up a Reloader or two can be pretty useful when it comes to the Cyberdemon (or any number of sticky situations).
The fact that you were getting hit whenever you used a med-pack was probably a mix of bad luck and bad positioning, but I'm sure you understand that for next time.
Another thing to consider is your build. When you get unique pistols, WK is not the high priority: MGK is. Auto-reloading will happen a lot with their extreme power, and SoB is less of a concern. After SoGx3/DG, making a beeline for the master trait is recommended.
Anyway, you came real close with this one, I doubt you'll have much trouble with the next attempt.