You're spot on with most of this, though the snarky wiseass in me says that the reason you don't carry the BK2 is probably because it weighs 37lbs. LOL
Signed,
Another guy who bought a BK2 because it looked amazing, and then ended up never carrying it due to its weight.
Your snark isn't misplaced, as weight totally was a factor, but my original statement wasn't really trying to be misleading either. I bought the BK2 as my first "real" knife, and will admit to being swayed by the thread where that guy batoned through everything (lawnmower deck included), and the knife was fine after some sharpening. Turns out, I have little use for batoning lawnmowers at this point in my life.
I still maintain that the BK2 is a decent knife if you're subject to the restrictions of only bringing one tool with you, and have limited space (not weight

). I just... never have those limitations, as when I go out camping, I'm not in some reality show that limits the number of items I take. That said, my BK2 has still gotten some use, mostly around the house for splitting firewood by the fire out back, or breaking up fatwood/etc. Its basically a froe that I can carve with if I want at this point.
I also realized that for nearly the same weight, I can split the tasks up into two knives. My BK9 chops way better than the BK2, and because of its length (which is apparently not a large knife at 9in), is actually more useful for batoning if needed. My mora is also WAY better at small carving than the BK2. So now I typically carry both of these when I car camp, or do more base camp style camping. When I backpack, I don't do fires much, so along comes the Mora or something similar just in case.
I also love folding saws. Like other people have said, chopping is actually very tiring. Id rather go faster, and use less energy, and be safer using a folding saw.
A big knife knife to me is ~8 - 11in, and can be used around camp to chop/split wood up to ~wrist/forearm size. It can also help with food prep, cutting tent stakes, delimbing wood that was harvested with larger tools, and even help clear a bit of brush on the trail, or away from your tent/etc. For "real chopping" there are larger tools like the heavy machete/kuhkri/axes, and "real cutting" you have your axes/bow saws/chainsaws. So, IMO they have a place, I just don't take them everywhere.
I guess I think of large knives in the woods, kind of like I view a petty/utility knife in the kitchen. Not the best at anything, but still useful to have around, as it "can" do a little of most everything.