I was among the very first few people that paid some attention to Lana Del Rey when her "Video Games" and her new alter-ego came out back in 2011. I told a few folks that she was going to be the next big thing, and most people were "who's that?" when her name was mentioned at that point.
She has what it takes - the look, the attitude, the image, people a musician should know, some certain amount of talent, money and a distinctive singing style. She's definitely a smart girl too, I'll give her that. I found her stuff catchy. Her songs are all well produced. Her videos are well (financially) invested. She's for sure inspiring. I do have a few songs of her in my playlist, I do hum and sing along some of her stuff because I do genuinely like those tunes.
But that does not mean I will consider her one of the best artists all time, and she never was or ever going to be my "favorite" artist. Now this can be taken as only personal opinion. She lost me at the line "Money is the national anthem. Money is the reason we exist. Everybody knows it, it's a fact. Kiss, kiss". By the time she sang "My pussy tastes like Pepsi Cola", I already stopped caring. I don't hate her though. I don't think she's talentless. But I just lost interest, for me she's another entertainer that comes and goes.
I'm a Bjök, Lykke Li, Madonna-of-before-2000, Thom Yorke, Depeche Mode, Boards of Canada, Muse, Garbage, Grizzly Bear, Damon Albarn, Moderat kind of girl. I don't find Lana Del Rey authentic and philosophical enough. Again, this is personal opinion.
I've interacted in person with the girl for a few times, for a few days, on 2 occasions when she was in her normal clothes and without all the celebrity acts. In close distance, I could tell what was "newly installed" on her face. But as a person, she was just a normal looking, pleasant and polite human being, with pleasant talking voice. And that was it.
My experience and observation tell me that people will never change their preferences and opinions, especially when it comes to abstract, intangible or idealistic subjects like music, movies, literature, love, religion, politics, etc. You say "it's great", I say "it's bad". One says "it's right", another says "it's wrong". Shoving more "facts" to people's face with purpose to prove that your idol should be acknowledged as one of the greatest of all time is NEVER going to change the minds (or should I say hearts) of the ones who already decided "This is nonsense crap". Arguing "this is shit, too bad you can't see that" is not going to change one's taste in music or their fanaticism. Of course, if there's never debate, there's no more fun. But it should stop at the point where one side is passive aggressive, the other is outraged, or both sides passive aggressive, or both sides outraged.
At the end of the day, I'd say, I think this artist is pretentious and not that talented, and you think s/he the greatest thing ever, and we both should accept that, smile, walk away, we could quietly think the other person is fugging stupid though. Quietly.
There are bigger things.