So I have a Loot Dice + luck on roll combo, in the past 3 days I actually started to gather info on Graveward farms with Loot dice on and off, killed him 30 times with Loot dice on and off, the results were 37 legendary on average with loot dice on and 39 legendary with loot dice off, based on RNG and other factors I can say that luck stat does not affect legendary drop, I saw more epic/blue/greens with loot dice on though but didnt count them exactly.
Some youtubers BS and talk nonsense, post stupid videos with fake results or results that are exactly like mine and they still say loot dice boost legendary, I crack myself when I hear that, and its because of such morons gearbox didnt fix this issue yet.
More exactly how I did my tests, I ignored every single cosmetic and Grave relic and ward shield, I counted only the world drop legendary items, and the results clearly shows loot dice + luck combo is hot garbage. Now I cant have such bad RNG I farm graveward daily for like 30 days now and trust me I would totally notice if LOOT Dice affects legendary drop.
If you also had a bad experience with LOOT Dice share it with me, if you are one of thos ppl who killed him like 3 times with loot dice and got some sort of placebo effect from it please go back kill him at least 30 times with loot dice on and 30 times with loot dice off, than come back and share your result, the difference must be at least 10 legendary drops to make loot dice a item worth using, if not it was all RNG and you only think loot dice works, in fact it dosnt.