I will disagree with you here, there are some combos within each group that will never be pure white (like SuperPhantom or SuperVanilla).
It is determined by the "strength" of the allele(s) you are working with, "stronger" alleles (e.g., more highly expressed mutation) will give reduce the likelihood of patterning/colouring arising. Lesser is stronger than Mojave is stronger than Phantom and so SuperLesser is less patterned/coloured than SuperMojave is less patterned/coloured than Phantom.
This will be interesting to see however I think you already know my caution that what these animals look like as hatchlings can be very different to how they look as adults. What people say is the "whitest" at 100g could look very different at 1000g.