1) NEVER fully drain the battery. Unless it's impossible, don't let it drop below 40%. Replacing the battery in an S6 isn't a $15 affair - you'll pay more than that just for the labor. Drain the battery all the way every time and you'll be replacing it in 6 months. (That's how lithium battries work. You want one you can drain all the way? You'll need a lead-acid battery - a storage battery of the type used in cars. One large enough for a cellphone weighs pounds.)
2) As long as the source of power - wall, power bank, tamed lightning - can supply as much current as the phone draws, it charges in the same amount of time. You don't push more current into the phone by using a larger power bank - electricity doesn't work that way. (At least it didn't back when I got my electrical engineering degree, and I haven't read about anyone discovering a new kind of electricity.) The phone draws what it's designed to draw. Put it on a 500,000mAh power bank and it'll charge just as fast as from a 5,000mAh power bank. The larger the power bank capacity, the more times you can charge the phone before having to charge the power bank (which you also shouldn't drop below 40% of its capacity), but the larger it is, the longer it usually takes to charge. (The ones with built-in chargers that are designed for a 1C charge, will all recharge in the same amount of time, regardless of their capacity - about 60 minutes. But if you're recharging a 10,000mAh power bank with a 2 Amp charger, it's going to take a minimum of about 4.5 hours if you charge it from 40%. A 10 Amp battery, with a 75% charging efficiency, needing a 6 Amp-hour charge, being charged at a 2 Amp rate equals 4.5 hours. 3rd grade arithmetic. Or do they wait until 4th grade to teach division?)
If the phone charges in 2 hours, the power bank will charge it in 2 hours. If the phone charges in 3 hours, the only way to put enough power into the phone in 2 hours would be to raise the voltage of the charger. But then you don't have an S6, you have a burned out phone. Again, Electricity 101. The power bank can't change the effective resistance of the phone, and that's what determines how much current it draws (which equates to how fast it charges - assuming that the phone is off; if it's on, running enough stuff [like a really weak phone signal and the screen turned up all the way] so it's using 1000mA, and it can only draw 1200mA, it's charging at a 200mA rate [0.2 Amps]) - and no power bank in the world is going to change that. (My phone charges just as fast from the 2 Amp OEM wall charger as it does from my 30 Amp bench supply. It draws 1200mA in either case. That's how it's designed. I could put it on a 500 Amp supply and it would still take the same time.)
Your house is a 200 Amp supply, but a 100 Watt light bulb still draws a little under 1 Amp. Connect it to a 5,000 Amp supply and it'll draw the same current. Put it on a 220 Volt supply and it'll draw 2 Amps? No, it'll act like a flash bulb. POP! (You'll actually hear that.) Then it'll be a burned out light bulb. A buck shot in an experiment. Put 10 Volts on your phone and it gets a little more expensive. What's the retail price going to be? $700? $800?