An effect yes, but that effect could just as easily be that you have a higher chance of getting files that you are missing which would mean that we’d also need to know which pieces the had before hand and that would be even more insane to figure out.

The easiest thing to do would be to get 2 characters, one with a Luck of 1 and another (Probably a hacker) with a Luck somewhere around 65-70 and simply redo a single forum repeatedly to see if there is any difference in the drop rates or rarity. Obviously it would still take a whole lot of testing but at some point I or someone else may make a forum dedicated to making those 2 runs repeatedly until we could say once and for all whether or not it affected the file itself or the piece of the file you get.