You want good shock value with music? Alice Cooper.
Seriously? I respect Cooper, but I don't think anyone has been shocked by him in at least 20 years. The world has moved on.
She's no Madonna, that's for sure.
Well, these days Madonna is no Madonna...
She has been constantly mentioned in the media.
That really is not proof of anything. Weiner's wiener has been all over the media for several week now, but it does not make it entertaining.
But most of all, her fans are truly fanatics.
That is not really any reflection on her music, either. All sorts of non-musical personalities have had huge and very dedicated followings. Heck, look at the Grateful Dead.
LG's tunes are catchy and her videos are a good show. It's fairly good quality pop, especially compared to all the other utter crap filling the genre. That said, I think you have a bad case of SfDMS (Search for Deep Meaning Syndrome). It's pop music, that's all. Sometimes a cigar is just a cigar, and sometimes a pop song is just a pop song.