Nate: Luck boosts only affect you.
Do remember that a fully raged coyote spirit or a fully raged divinity both give a luck boost as well... and if used on your crew, the luck boost is given to everyone.
Luck boosts do not stack, however; angel set has the largest luck boost, with coyote spirit close behind its luckiness.
Luck also only seems to affect ring drop rates.
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But to more directly answer your question, it wouldn't matter much. Assuming everyone is the same (or very close to the same) CL and everyone sticks together, you'll all get an equivalent loot chance from whoever "killed" the enemy (How the game determines who killed what is not known; my guess is the one that caused the most amount of hate or damage is the one who "killed" the enemy).
So as an example... say crew member 1 kills something in a full crew. You all will receive loot equivalent to that person's loot chance... basically, 6x the normal loot rate, divided evenly amongst the crew members. (to keep things simple)
Check this page and the next one for luck test results~
Loot division source~