More important than Gold Earned... is Gold given away to opponents.
You know the time after a teamfight when your teammates exclaimed, "Worth!" or "Not worth!". This is that stat.
It should be factored into mastery ratings and integrated into scoreboards. Total amount and individual amounts. Will make new players understand why they're winning fights n still not win the game at the end of the match.
A Basic Island2 votesthe death counter does this just not as direct, and without the data of assists in there.
And what you're asking for would discourage sacrifice type plays where the tank/support goes in to prevent the adc from dying or going in to absorb all the abilities and die while his team mops up.
Fraggleroc3 votesIt's all correlation.
A tank dying an appropriate number of times does not mean he will give away more gold than the death of the main damage dealer who has killed 5 or more times. The damage dealer would worth more than the tank who has to sacrifice. Tanks accumulate worth via assists more so than kills.
justaminorthreat1 votesActually quite the opposite, ever heard of proxy 
? It only works because of this stat! I strongly agree that this stat should be shown! Death counter means nothing if you're 0/5/36 as a support or singed top. at that point you are giving such little gold that it doesn't really matter if you die so you can easily justify sacrificing yourself to save your carry who is legendary at 24/3/12 (yes I'm making up completely random K/Ds here).
It kinda shows you when you get shutdown of give first blood, but it only shows it briefly in chat, having this as a red number in the score board would be awesome to help show people what they are giving up when they die.
SonaTitsAndAss1 votesthe worth thing is a meme joke...