Yes by discharge rate, I mean battery that's idle and not being charged. My plan it to put the jump starter in both of my trunks for emergencies and not have them hooked to electrical 24x7.

I did some more research and these are my top choices in order:

1. Schumacher Electric - SL1 - (http://www.batterychargers.com/sl1/) $81 Amazon (https://www.amazon.com/Schumacher-SL1-Fuel-Lithium-Starter/dp/B00LQW3COW/ref=sr_1_1?ie=UTF8&qid=1475960613&sr=8-1&keywords=sl1+starter). A Napa parts clone also exists.
2. Schumacher Electric - DRS108 - This is an utra capacitor and I'd learn to love more about it. (http://www.batterychargers.com/dsr108/) - $240 Granger (https://www.grainger.com/product/DSR-PROSERIES-Ultracapacitor-Jump-Starter-49AK27)