Is a Deerstalker/Deerhunter/Country Hunter just a chopped version of a Hawken? Can this GM barrel be used?

Is Lyman's Trade Rifle a Hawken?

I see Dixie Gun Works sells a Pedersoli Country Hunter which has a 1:32-34" twist and seems be a Deerstalker. Is this a better rifle than the Lyman's?

Which twist (34 or 48") will stabilize a heavy conical better?

I have been using the online ballistics calculator from big game info.com as I'm wary of downloading stuff (had several problems without visiting nefarious sites or downloading). For some reason I couldn't view ct muzzleloaders site.