Actually, the Winchester 94 and the .30/30 cartridge designs were pure genius. I challenge anyone to show me an easier to carry hunting rifle, even the similarly popular Marlin 336 is a bit beefier, and not quite so nice to wrap the hand around. Handiness, next to reliability, is the most important consideration there in a hunting rifle that will be carried in difficult conditions, and the more difficult the conditions, the more important handiness becomes. I've wandered the country north of Lake Superior, the tundra of the sub-arctic, and the western mountains in BC, and the Yukon, and in each case I'd have happily given up ballistic superiority for a shorter, lighter, rifle. Maybe, just maybe, I should have ditched the bolt gun in favor of a lever action.
The ballistics of the .30/30 established the ideal of the era, a reasonably heavy bullet, with a muzzle velocity of 2150 fps. These ballistics are certainly enough for deer and black bear, and if lacking for moose, that would come as a great surprise to the thousands and thousands of moose harvested with .30/30s over the last century. Will a lung shot moose instantly collapse from the damage inflicted by a .308/170 impacting at 2000 fps? Probably not, but then again, they don't always act like their impressed by a .375/300 gr either. Consider the ballistics of all the Nitro Express cartridges and you'll notice a common theme, one only had to choose his caliber for the weight of the game he intended to hunt, the velocity of 2150 fps was already decided, and so it is with the .30/30.
A real eye opener to me was how well the traditional lever guns could shoot; I've seen talented marksmen squeeze some pretty small groups out of Winchester and Marlin .30/30 carbines, which was quite a revelation for the young guy who at the time believed the sun rose and set on the bolt action .30/06, and looked down his nose at the ole lever guns that everyone knew would barely hold 4 minutes. I still look down my nose at the .32 Special, but that is more of a question of rate of twist than of rifle or cartridge. I'll never forget the day that the fellow sitting at the bench next to me embarrassed my highly touted Remington 700 '06 with his scoped Marlin 336. Perhaps his carefully dovetailed shooting box and his wood cartridge blocks should have been a tip off that he might know something I didn't!! As others have mentions, the limiting factor for accuracy isn't so much the lever action rifle's design as it is it's sighting equipment. Had all of these rifles been factory equipped with large aperture peep sights and wide post front sights, instead of the ill advised buckhorn/semi-buckhorn with bead fronts, these rifles would have proven much easier to shoot well, and their reputation for fine accuracy would have been more generally accepted.
One of the criticisms of the .30/30 is that its a 150 yards cartridge, as if that were bad if it were true. But I'm here to tell you it ain't necessarily so. On the day you need to take that longer shot, there are two ways to accommodate it with the .30/30 lever gun. The first is to load the cartridge with a pointed bullet. A 165 gr boat-tail spitzer bullet might seem out of place seated in the long neck of the .30/30, and the suggestion of loading pointed bullets in a tube magazine will surely bring out the pitch forks and torches. But if the rifle is carried with one round chambered, and one round in the magazine, your two shooter, will be able to reach out to 300 yards if you do your part. Another way to achieve a flat trajectory is to drop the bullet weight down to 125-130 gr pointed bullets to attain a velocity of 2450-2600 fps. Naturally long shots require a scoped rifle, which detracts somewhat from the handiness of the traditional lever action rifle, but life is full of compromises. I've done a fair bit of shooting at 300+ yard targets with ghost ring and post sights, and my marksmanship at that range with irons does not allow me in good conscience to attempt such a shot on unwounded game, except perhaps in some emergency where I badly needed the meat and could get no closer.