You're missing the point that it requires THE OPPONENT DO IT. The rules specify the fighter who reaches the win condition first wins. Hank isn't forcefully removing the opponent, so why would you apply the rule that explicitly requires him to be doing something he isn't doing in the first place for it to apply?
That's why the second half of the incapacitation sentence says "knocking the opponent out for at least one hour, or incapacitating the opponent by putting them in a state in which they can not harm the other fighter(s) for over a day, are to be assumed as victory conditions."
It doesn't require Titus to be completely incapable of fighting, just incapable of attacking Hank specifically for a day, which The Depths would put Titus in that state if he isn't fast enough to leave and immediately go to Hank, which leaves him vulnerable to permanent death. This isn't even taking into consideration Titus likely doesn't know the way back to Hank if he does die, so even if he does escape he likely can't make his way back.
I'll have to look for them, they're from a few years ago. Might take me a bit, but give me the time and i can grab em. I know vaguely what verses it was related to.