Exactly.
It depends. The battery bank is mostly buffer to provide clean power and bridge the generator, but it does have a few hours of standby all by itself.
Good guess, yep. Ask any CO eng>I'm sorry, but I'm lost. I just can't get my head around it: I've seen
My analogy of a sprinter vs. a marathon runner explains it, I think. A car battery can put out a LOT of current for a small amount of time, but doesn't have a lot of capacity to do it for very long, and is easily damaged if you work it too hard.
Batteries, especially lead acid, can be engineered to tailor them exactly for what they're used for. Car batteries are designed from the ground up to give the starter motor a big jolt, and not much else [*]. Deep cycle batteries can't deliver the same current, but what current they can produce they can do for a long time, and they don't get wrecked as easily when drained. *
[*] Of course, the few other things are important too, but they don't pull much current by comparison to cranking the engine.What voltage? Amps alone doesn't tell you the whole story. For your application, a small generator (rentable at most big-box hardware stores) would probably be a better choice. Or if your radio runs on 12v directly, a marine battery.
Car alternators are designed to be as cheap as possible and still get their job done, not for efficiency. *