They do not contradict. Rhode Island Reds are a recognized breed, with it's own specific set of traits. New Hampshires are a recognized breed, with it's own specific set of traits. Production Reds are not a recognized breed and does not have any specific traits other than they are a red feathered bird that lays tons of eggs. Hatcheries don't breed their birds to conform to breed standards. They breed purely for production. 99% of hatchery sourced chickens will somewhat resemble the breed they are sold as, but do not come close to meeting the breed standard. The RIR/Production Red/New Hampshire birds are only one example of such issues. For an even more shocking hatchery vs. show quality difference just check out Buff Orpingtons. The difference in the birds is startling. They both may be buff, have single combs, and white skin; but the similarities end there.
Are they good enough for a 4H or county fair, sure. Will they ever come close to placing at an APA sanctioned show, no way.
Cackle is one hatchery that honestly does try to improve on their stock and does keep breed standards in mind when breeding. Most hatcheries do not operate like that, though.