In order to keep this brief, I'm going to avoid a long rambling opening and get right to the meat of the issue. The `death intent statement' (`fights with a deadly bloodlust in his eyes,' `is going for the kill,' `is eagerly seeking the death blow,' etc.) can ONLY be gained in normal combat (non-Dark Arena, non-Bloodgames) AFTER striking an opponent in a vital location (some region of the HE, CH, or AB, pelvis included.) Once the death intent statement is printed, the struck warrior makes a roll to survive the fight. If this roll is failed, he is dead, and the rest of the fight is simply a matter of running down the dead fighter's hit points by normal, non-critical attacks.
Now, the moral offshoot of this is that, knowing this, any fighter sent out by his manager attacking a vital location is purposefully increasing his chance of killing his opponent. The logic is this: if you attack vitals you are more likely to hit a vital location. In striking a vital, you may get the death intent statement, and that's then one dice roll to end the fighter. By attacking non-vitals you are decreasing your chances of striking a vital (by increasing your chances of striking non-vitals.) Note that this is not flawless, as the percentage of actually HITTING your attack location is perhaps only 67% on high-deftness fighters, but by not attacking vitals you are doing the best you can, which is all anyone can ask.
Here's the bottom line. A fighter can run 10-10-10 L-N and NEVER kill (excepting infirmary deaths, which is an entirely separate case) if he hits only arms or legs. Thus, while KD is a large factor in determining kills (a head shot by a 10-10-1 fighter is far less likely to get the statement than a head shot by a 10-10-10 fighter,) it is less important than attack location.
-- Sir Boyd