Actually, some of the pre 2006 New Haven CRF Winchesters did say "classic" right on the barrel. I just dug mine out of the safe to confirm, I was sure it did. I think Mike is partly right though, now the term is used to denote the CRF, but the rifles are not actually marked thus.
EDIT: My model 70 is a Featherweight 30-06, and says "Classic" on the right side of the barrel. It is one of the last produced in New Haven.