I think a lot of the confusion is because people either dont understand what is meant by Dodoma or just use it as a marketing scheme. Here are my rules of thumb:
I will always call Dodoma locality sands just that; priority goes to the first name giver (in the case the Barkers) so nothing else gets that name and they went with Dodoma Flame.
I also don't like giving names to things that dont have a simple genetic basis. It can be misleading since we have learned to associate a morph name with being able to reliably reproduce it according to the probabilities you get from a Punnett square (even if that assumption is not at the top of your mind). So, morph names are reserved for dominant, recessive, co-dom and incompelte dom traits only.
The sole exception to the rule above is with line-bred traits (and locality). They might not be simple recessive, but when bred together (and thats the important caveat) you have a reasonable expectation of reproducing the trait. That even goes for animals from the line that are not stellar examples of it. When bred together somewhat ordinary looking line-bred animals can still produce some remarkable examples of the line-bred trait. Whatever that may be.
So, with those rules in my head I call the reduced pattern animals just reduced pattern animals. Until they are proven to be simple genetic and can get a cool name (which we will all associate with it being simple genetic) or line-bred to such a point that we can reliably produce more of them.
It can also be helpful to give the provenance of the line, so Stockwell-line nuclears. Everyone knows what that means.
Those are what I like to do anyway 
Vinny
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“There is a grandeur in this view of life, with its several powers, having been originally breathed into a few forms or into one; and that whilst this planet has gone on cycling according to the fixed laws of gravity, from so simple a beginning endless forms most beautiful and most wonderful have been, and are being, evolved.” -C. Darwin, 1859
