Basically, in this phone I can't see any difference using Live wallpaper.
Look, how long are you starring at your wall paper. It stops running when its off screen (when running another app), or when the phone sleeps, so just how long is it really doing anything? Not very long.
Also when you touch the screen, most of the live wall papers freeze, and stop moving so as not to interfere with screen manipulation.
And another thing --- While I am in rant mode.....
This is NOT a Amoled (LED) screen. Its a back lit Super LCD screen.
Picking a DARK wallpaper takes MORE power. Because it takes power to make a LCD pixel go black, (or selectively filter the backlight). So the DARK wallpaper advice is totally wrong for this phone.
You want to save battery, turn on auto-brightness control which dims the backlight and save a lot of power.