If you raise them the same way and butcher them at the same age, pretty much. The older the birds get the more flavor and texture they develop. The same is true with pork, beef, sheep, pretty much any meat animal. Dual purpose chickens are typically butchered at an older age than the CX so they have more flavor and texture. With the girls that's not as noticeable if you eat your pullets but when the boys hit puberty the hormones really make a difference to both texture and flavor.I've been wondering. if you grow CX at home, do they have the same bland taste of the store-bought chickens?
To me those are the big two when it comes to flavor change, age and the boy's hormones. If you raise them so they get more exercise and feed them differently you can make minor changes in flavor and maybe texture. My taste buds are pretty insensitive, I wouldn't notice that difference but some people are more delicate and do.