White is the ultimate eraser. The sex-linked color gene shares the same location on the chromosome. You can find more information in the 'Stickies' located above at the top of the Peafowl page. I will try to better explain when I have more time.
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If you look above on the top of the Peafowl page there are a list of 'Stickies' that will take you to the general information on housing, care and genetics, it is a great place to start learning.
Splits are references to hidden genetics that you can not always see. When splits to sex-linked colors pop up like your chick did then you know that it is a hen because a hen can not be split to a sex-linked color. It does not matter what color hen your cock breeds, half of the hen chicks will be Cameo, if the hen is Cameo then you will also get both Cameo cocks and hens.
You have been so patient and kind with the explanations and I have looked this up but still not sure so will ask....are you saying that a Cameo hen will produce Cameo male and females regardless of the color of the cock? Or does she have to be bred to a Cameo cock for that result?