I don't use applesauce as a main sweetener, though I use it in a number of baked goods, especially if I'm making something vegan for the SO.
But it does *help* with the sweetness. I find that there's not much 'apple' flavor that remains, especially depending on the other ingredients. Cocoa, cinnamon, and the like completely mask it. In any case, I use it *or* canned pumpkin in place of oil and/or eggs when the eggs and oil are there for the sake of moisture. There are some chocolate 'cakes' and brownies that work this way, though I find them both spongier than if I'd used eggs and oil ... and both are quite moist.
Anyway, you said banana bread: first -- yes, you should be able to use it. Quick bread and all. Supplement with a good amount of cinnamon or other spices. And second, google for vegan banana bread recipes, not that you're trying to make a vegan one, because they'll probably use pumpkin or applesauce.
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