Did you turn off your mobile data as well? WiFi is supposedly to be more power efficient than mobile data generally due to the router location in your home unless your WiFi signal is terribly weak at home.
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I gave up on nexus 4 due to its battery life and got myself s4. It can last 2 days easily with brightness set to max. Now I am worry free on the power.
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Yeah... Very bad battery life compared to other phones. My brightness is at the minimum all the time except when I couldn't see what's on the screen when I go out...
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Did you try cm10.1? I was using that and I had to select LTE in the radio setting and used the right APN, then LTE works right after that.
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