I’m currently trying to find out how Luck works and what pieces are available for .moar files in forums and have done 20 runs on Denture Chat with 6 different characters whose Luck stats range from 2 to 78. Luck DOES make a difference, but at least in this Forum, it’s not a big concern. There is a file the lower Luck guys get almost 3-4x as much as higher level chars and the extra files the higher Luck guys find is pretty much divided elsewhere. I’m not seeing any real difference in which pieces are found or whether or not Luck affects if you get pieces you happen to be missing. I think it is skewed towards missing pieces but that it is for everyone.

In the end I’d say take Luck if it happens to be there, but don’t really worry too much about it.