I have one of the Anker batteries. It'll happily take in >1000W from an AC wall outlet to charge fully in ~1hr. It's 300W max DC input from solar (which is where that 3.6hr number comes from) or 100W max from a 12v car adapter.

Those other batteries you linked look like a potentially great deal for raw capacity, though there's something to be said for having a mostly portable package with thermal management and a bunch of different inputs and high-powered outputs.