Making a BEL.

[asplundii]

Does a phantom x butter make a clean white snake?

Butter/Phantom is a Karma. Sometimes they are white, sometimes they display a faint pattern. Check out RDR's breeding pages from 2015 or so, he has a great pic showing a full clutch of Karma that run the gambit

Has anybody proven whether or not Bug eyes are genetic and will be passed to offspring?

It is genetic in as much as it is a secondary phenotype that occurs with increased appearance when breeding for SuperLesser. Just because the parent does not have it does not mean the offspring will not have it.