It's so sad that some people think that she can't sing live bc of incidents like the BBC Live Lounge where was someone to stupid for mixing correctly. Lana definetly can sing and her singing in Live Lounge was good (you can hear it in the fixed versions). And I wish that she wouldn't use that much of backing vocals for her concerts. Sometimes you only hear the backing vocals (a least in the videos i have seen bc I was't on a LDR Concert). She can definetly sing. I love videos of her singing VG and Ride bc you can hear her beautiful voice clearly (if you ignore the crowd ). And I think a vocal coach could help her so that she can reach for example the high notes of NFR song. She is able to reach high notes and to belt but she need some help to do this again.
(Idk if it is the best example but I have to leave the house in 5 Minutes and that was the firs that came to my mind)
I think this is with very silent Backing Vocals and the End is so good