There are few things to think about:
1) barrel steel - everyone has heard about the US 11595 spec. That is a pretty generic spec that allows quite a bit of different steels of different purities and variation range in exact composition. At times, steel of the "high grade" with a higher purity and narrower range of composition could double the cost of that of a lower grade. You can gain some understanding of European gun steel spec if you know which company to look at.
2) CHF, button rifling, cut rifling....I don't know much. But if school had served me right when I was young, , I would be tick marking forging as the stronger in the multiple choices if I had to make a bet at the Metallurgy 101 mid term.
3) Chromelining, nitriding, etc, are surface treatment or surface hardening. A cream burlee with a sugar crust is still cream burlee. The cream under the sugar crust still counts. You cannot make a structure out of tofu by spraying a thin layer of shotcrete on it, the shotcrete will just crack. Wonder why the C7's bore throat still looks pretty smooth by naked eyes after people shooting millions of blank rounds out of it, but a generic commercial barrel looks like the surface of Mars after a few thousands rounds even it is chromelined?
The bottom-line, the US forums have done a pretty good job in brainwashing people to demand chromelined 11595 spec barrels. The fact is that there has been no 3rd party scientific study published in open source to show which combination of barrel technologies is better based on current technologies. Everyone is guessing and going by the factory claims.