Short story: There's not much story, but the Game itself is awesome, pretty much like borderlands AAA (but better since the loot in Destiny is MUCH MUCH harder to get) .
Huh? You think it's much harder to get a respectable weapon that suits your taste in Destiny? That there's more loot than in Borderlands? What?
There aren't even the same amount of base weapons in Destiny as there are in borderlands 1 even.
BL 1 you have: Eridian weapons, SMGs, Semi-auto Rifles, Burst Rifles, Full-auto Rifles, Light machine guns, Sniper Rifles, Shotguns, rocket launchers, Semi-auto pistols, Machine pistols, Revolvers and all of these have wildly different stats and elemental types(which makes a huge difference) whenever you find them so there are thousands of possible permutations.
Destiny you have: Semi-auto Rifles, Revolvers. Burst rifles, auto-rifles, sniper rifles, revolvers, shotguns, sniper rifles, fusion rifle, rocket launcher, Light machine gun. All of these can have different perks and have a handful of base firing types(e.g. A Sahara auto-rifle will always have a massive clip and shoot really fast with high recoil) which gives hundreds of permutations and you'll frankly barely notice the element that your weapon is shooting.
I don't understand your point. You may not like Borderlands personally, but a lot of people seem to be making this mental leap here saying that Borderlands co-op was worse than Destiny co-op, when Destiny's co-op would have a hard time beating a game like Warframe.