I've got both and hunt with both. The .22 Benjamin is frustrating from a survival perspective on upland game birds. You go from being a wing shooter, to more of a scaled down rifle hunter; a tiny rifle for tiny game. Most times, you don't see birds till they're on the wing, which neutralizes any possibility of a rifle shot. Hence my "frustration" with it. Rabbits are almost as fleeting. Squirrels are dumb enough to stick around in range, stationery.
The survival rifle is in .22Hornet. It has gotten WAY more small game animals for me, due in part to its light weight and stretched string trajectory. The wallop it carries is definately adequate, and even legal for deer, here in California.
Since I've got a shotgun barrel underneath, that makes it legal as well as suitable for bird blasting. In my hands, I definately do OK with a .410 on upland birds. Hunting with this has been such a fun challenge, that now my 28 gauge seems like a cannon with tons of overkill, (yeah, right!) by comparison.
When I am goofing around and hunting for sport, I don't really care if I come home with a full limit, or not. I'll still eat that day, regardless. This frees me up to hunt with the weaker and more marginal calibers, which are harder to limit out with, hence more sporting.
If I was dead serious and had to make meat for survival, I would use a scoped, accurate semiauto .22LR for small game, or a modified choked 12 gauge semi auto for birds or fleeting targets. Big game would get big bullets from a .30 caliber rifle. Also, I would pay a little more attention to the mechanics of the hunt, such as wind direction, sound and light discipline, camo, and use beaters/dogs to drive the game through some terrain bottleneck, where I'd be waiting.