I won't listen to that live thing from 'Cruel World' but I am happy that it apparantly is rock influenced
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To pick up the EDM conversation there is definitely EDM music that Lana could do.
Chill house music or progressive house can be very complex and Lana's vocals would fit that. Her lyrics wouldn't go with the sound but that could be a challenge for her.
I am not saying I want her to do EDM because I prefer her this way , but an EDM album with alternative producers could end up realy well.