I don't think there is a difference between genre - it will be between writers. I think a given genre will affect how one (re)presents an anxiety, not what the anxiety is.
I think the dividing line is that, when those in the genre of (modern) literary fiction use monsters (or other horrors), they're very clear to do so at a distance with a big warning sign that reads 'don't worry, I do not actually take monsters seriously, this is just a metaphor'. There's an anxiety difference - lit fic is scared of taking monsters seriously.
Dickens wrote some brilliant ghost stories, and wasn't scared of doing so. To flip it around, Stephen King writes as much about the sh***y things people do to each other every day, and the struggles of working class life, as the more overt supernatural stuff. I think a writer like Ligotti could stand fair comparison to Dostoevsky or Kafka.
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Of course, it's probably quite a bit more complicated than that.
You know sometimes, between the dames and the horses, I don't even know why I put my hat on.