what do these relics do?

[Belforks]

what does the relic "Incomplete Gear" do? it says it "Slightly reduces Lilac's Weight" but what does it actually do? i couldn't tell whether it made Lilac jump higher or fall slower. I spent the whole game thinking it would become "Complete" and used for something later but nope...
also the "Headless gold statue"? it says you have a chance of obtaining something useful from defeating enemies but i also have no idea what that means, does it make more scrap drop?

[Zunde]

I'm pretty sure the weight reduction is related to aerial attacks.

As for the headless statue. You have a chance on enemy kills to get an almost comically insignificant amount of materials.

[fwhite0782]

Making Lilac lighter makes him gain height during aerial attacks.

[RhiaRhiRhi]

Making Lilac lighter makes Nola's scythe attacks lift her up slightly instead of just keeping airtime. I used it a lot in conjunction with the counter skill to reset Nola's attacks, and get into a few areas I probably wasn't supposed to be able to get to at the point in the game.

The headless statue gives a small chance for enemies to drop materials (shop currency) or a healing charge. Usually, enemies just drop fragments for the extras shop, and scrap if you break their armour.

[Raccoon Citizen]

You can get to those places that aren't unintended to get to yet w/o the Incomplete Gear, maybe it makes it easier but it's definitely not necessary. It's useless if I'm being blunt.

[Darakkuu]

Originally posted by Raccoon Citizen:

You can get to those places that aren't unintended to get to yet w/o the Incomplete Gear, maybe it makes it easier but it's definitely not necessary. It's useless if I'm being blunt.

I mean, I used it to reach Lab behind the academy before I got rocket jump from Factory or underwater wall break from Declan... It gimmicky, but far from useless