I can't speak for the 510, but have extensive experience with the 801.
Dripping:
Pros: Better Flavor, Better Vapor, No unused
juice trapped in a cart, Keeps your atomizers from drying out, No buying, refilling, cleaning, replacing carts.
Cons: Must replenish
juice more often, Uses alot of
juice (but probably evens out with whats not being wasted in a cart), Likelyhood of flooding the atomizer, Carrying a bottle of juice around all the time.
Carts:
Pros: Prefilled for easy juice replenishing, No need to carry around a bottle of juice, less frequency of replenishing,...?
Cons: Constant prep work of replacing, filling, cleaning. Wasteful if you don't clean and reuse them, Getting hard to find the ones you need that fit your particular attys, They collect juice that never get's vaped and you're always topping it off with new juice, Messy, ...?
That's all I could think of, but I'm sure there's more. Hope that helps.
I have taken Cash's advice in that; as soon as the flavor changes I drip more juice. I find that this gives maximum flavor consistency and it seems to make my batteries last longer, because they don't have to work so hard to produce the vapor.