Luck, Crystalline and Eternalized does affect chests but only if you open them on a farming character setup .
But actually getting chests isn't influenced by luck and farming affixes in PvP.
Instead you have to win a lot to get many chests as possible and watch some adverts to increase rarity whenever possible.
Prepare some gold for converting chests into higher rarity chests too as well . Epic to Legend chest and Legend to Eternal.
When opening eternal chests, make sure to save at least 10-15 before opening them up for the eternal trophies.