You are correct. I was not trying to address that issue, I was trying to a dress the issue of exclusivety and point out that Axanthic Pieds are technically different combinations from each other.
You bring up a very good point, a Super Thunder is a Lightning, therefore a Super Thunder Pied could be accurately be called a Lightning Pied. That is a problem that exists when our hobby gives a unique name to the homozygus form of a gene, or a breeder uses a combination name already in use. This happens by accident some times and on purpose other times. I don't know how it get resolved.
As an example, just look at "Rainbow". The Rainbow Banana is a Banana Pastel Pinstripe Spider, but there is a recessive gene called Rainbow that Herman Van Hellem's named (I saw his Rainbow Enchi at the Ham show in March and posted pictures of it on here), and there was a Rainbow GHI that Matt Leer was disputing with Brock Wagner and Brad Boa about who's combination was the real Rainbow GHI.
Naming combinations brings excitement to the combination, but can also bring confusion. Part of the fun I guess