I've got a Fallkniven A1, S1, and H1. All are better knives than I could hope for.
I have numerous Bark Rivers, too. The CEO's ethics are not my responsibility as long as he isn't cheating me, and he hasn't. I have quit buying Bark Rivers, though, because I think they are way overpriced. Nice knives, and I believe quite capable, but unnecessarily expensive.
I have used both the S1 and the H1 to field dress, skin, quarter, bone, and butcher deer. Each of them has gone through a full deer process and still shaved (albeit more like scraping) hair off my arm. I've never had an issue with chipping or rolling, even with the A1, which has been used mercilessly. Fallkniven is probably my favorite brand off knife overall, although I don't like Kraton handles (which my H1 and I think A1 have). I am looking to get an F1 soon.
I have a Becker BK-2 which is an excellent knife, but I would never pick it for hunting. I have several ESEE's, of which the ESEE-4 is probably my favorite for general usability for what you have mentioned. I would be quite comfortable with an ESEE-4 as my only knife.
I've got a crap-load of knives, from Buck to Benchmade to Spyderco, most of them in the 3 to 5 inch range. When it all comes down to the nitty-gritty, about any one of them is as good as another for bushcrafty type stuff, which your description says to me (including the hunting, but that is my personal opinion). Pick what you like, and go use it. You'll be a happy man. Or is that "Kman."

:thumbup:
Edited to add: Should have read the rest of the thread. If I was playing in -40C weather, there is only one knife I'd use: Fallkniven. Or at least something similar with an enclosed tang, but I have and trust Fallkniven's.