The Rezound complies with the USB charging specification. If your power source isn't compliant, it won't draw more that 500 mA (and probably less if USB doesn't enumerate, but I haven't checked). That's what the "short the USB data pins" thing is all about. Earlier USB charging spec said they should be shorted, the latest says 200 ohms. Any "USB charger" which doesn't do that isn't compliant, and shouldn't be sold as USB-anything, because it doesn't follow the USB spec. Return it to where you got it, and complain (loudly).
Regardless of how much power a charger can deliver, even if it meets spec you won't see more than about 800 mA go into the battery. There's a limit to how much current both the connector and the battery can safely handle, and the phone takes that into consideration.
Remember, the mA reported by utilities is (always?) what's going in/out of the battery. The charger would be delivering more than that (e.g. 800 mA into the battery, plus 400 mA to power a phone doing video streaming, etc.). AIR, the micro USB connector is limited to ~1500 mA, and I've never seen a battery charge at much more than 800, as reported by the kernel. Conversely, when charging from a non-USB charging spec compliant port, the phone won't draw more than ~500 mA from the port, and the battery only gets what's left after subtracting what's needed to run the phone.
Another thing which can affect charging is the cable. If you have a long USB cable using 28 gauge wire, there will be a significant voltage drop across it. USB specs say the voltage should be between 4.75 and 5.25 V, and Android seems to limit the charging current so the incoming voltage stays above 4.75V. Using 24 gauge USB cables, especially with longer lengths, can increase the charging current. Most vendors don't tell you the wire gauge used in their cables, but Monoprice does (no relation, etc.).