New Hampshire Reds and Barred Rocks are 19th Century chickens and as such they can no longer be considered as HIGHLY PRODUCTIVE laying hens.
Anyway the sex links that the hatcheries sells are produced with highly inbred brood stock because only the purest blood lines can reliably produce a sex linked hen or rooster.
That being said they will only reliably produce a sex linked chicken in the first generation cross. When you breed a sex link to a sex link is when you begin scratching your head trying to figure out which chick is a pullet and which chick is a cockerel.