Dynamis Relic Drop Rates

[Nyarlko]

Also, you might need to proc those NMs before killing them to raise the chances obtaining rares.

Procs do not affect anything besides currency. Proc unlocks an extra single currency drop slot, and IIRC 5/5 TE proc guarantees the slot. Gear/item drops are not affected by procs at all, but are affected by TH.