Displaying a fixed picture doesn't consume ANY energy, it's a static display. The energy is used when processing content for display (formating), changing the screen content, WiFi, reading the buttons and the touch screen. The difference between "turned-off" and "sleeping" is that in sleeping mode, the RAM content is refreshed (and consume some energy for that) to be able to wake-up instantly instead of a 30s boot process (that consume lot of energy, it's a very bad idea to power down for short periods).
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