Different hatcheries have different cross to create there "Cherry Egger" /Production Red.No a Cherry Egger is not a sex linked chicken.
It is a crossbreed chicken. New Hampshire x Rhode Island Red. I've never seen a CE with white in thier plumage.
One of the best crosses that a few hatcheries use is indeed a sex-link cross of a Brown Leghorn over a Rhode Island Red so there would be no white plumage.
Chris