Damage per gold is legit the worst stat in the stats page.
There is a fairly consistent trend with regards to damage per gold. The higher it is, the lower your skill. Legit, I just looked at DPG trends for ADCs and top laners, and as you go up in ranks, the number almost always goes down. And even if it doesn't, Iron still holds the highest numbers.
DPG doesn't show how good you are at being efficient with your gold, it just shows that you do damage more than you farm. This can be either because a) you're fighting all the time, b) you're never farming and are playing low eco, or c) everyone in your ELO sucks at dodging. All of these things inflate the stat and none of them are a sign of being a good player. I mean, relative to the same champion, it might mean something in more extreme cases (like Jayce needing to put out a lot of damage on low economy due to being an early game bully with a big mid game power spike), but even then, the numbers are heavily in favor of being a low ELO player. How do I know if I'm playing well above average because I popped off really hard and outplayed everyone rather than just being a bot that plays mindless ARAM on SR? Most of the other stats are pretty good, but this one is just absolute dogshit. I don't think any other stat consistently goes down as you go up in rank, or where Iron legit has the highest average.
Please, REMOVE DAMAGE PER GOLD.