That is the point. Dying is frustrating and can demotivate players from achieving more. By adding "death ranks" you also add reason to death counter and some flavor.
So you are saying that we should highlight the statistic that shows literally the number of unsuccessful runs to the player to motivate them to play more, in spite of the fact that dying is frustrating and can be demotivating? I fail to see the logic here.
I also do not agree that player death shows lack of skills. It is often caused by random nature of this game - the source of frustration.
My point is that premature termination of runs is terrible enough, why do we need to highlight these flaws of the player? You claim that most of the deaths are caused by the random nature of the game -- how often this is so, particularly in the early stages where you are more likely to be less skilled? From the perspective of a new player, he/she starts playing the game, dies a few times without knowing better, finally gains some rank based on kills and achievements, looks back at a rank that basically screams something to the effect of "you have died a hell lot of times lol" -- do you think this new player is going to continue to play and proudly show the rank?
My point is not to do away with the death statistic -- my point is there is really no need to glorify it. I don't believe we have good enough statistics on what is considered a nice average number of deaths as correlated to the other achievements, which makes the whole system very contrived and without positive merit.
Yes, one can add all kinds of named ranking structures to any statistic available in the game, but is it always that
necessary to do so? Named ranking structures are meaningful in the form of clustering information -- and in my first post on this topic I've already pointed out that we have an excellent system that puts the deaths into perspective, a more respectable demonstration of the data as opposed to a single phrase that hides the intricacies of how the death was done (through carelessness, heroic death from demons etc) that renders the need for a clustering system as put forth in the named ranking structure unnecessary and potentially misleading.