I get the whole sex link versus auto sexing what if you cross a auto sexing bird with a regular bird will the resulting chicks still be auto sexing?
"Auto Sex" is not a gene. It's the result of many generations of breeding to get the correct sex linked genetics for color/pattern that remain consistent within the breed every time they are bred.
Your idea would be much like breeding a white leghorn to a black australorp in hopes of getting all white chicks even though you've introduced new genetics.