Score

Wuthering Heights is NOT a "ghost story".

Well, it IS, however, a prime example of gothic literature, and there ARE allusions to Heathcliff being visited (or believing himself visited) by Cathy after she has died, and to Heathcliff himself being believed to walk the earth after his own death, too ...:

"We buried him, to the scandal of the whole neighbourhood, as he wished. Earnshaw and I, the sexton, and six men to carry the coffin, comprehended the whole attendance. The six men departed when they had let it down into the grave: we stayed to see it covered. Hareton, with a streaming face, dug green sods, and laid them over the brown mould himself: at present it is as smooth and verdant as its companion mounds - and I hope its tenant sleeps as soundly. But the country folks, if you ask them, would swear on the Bible that he WALKS: there are those who speak to having met him near the church, and on the moor, and even within this house. Idle tales, you'll say, and so say I. Yet that old man by the kitchen fire affirms he has seen two on 'em looking out of his chamber window on every rainy night since his death:- and an odd thing happened to me about a month ago. I was going to the Grange one evening - a dark evening, threatening thunder - and, just at the turn of the Heights, I encountered a little boy with a sheep and two lambs before him; he was crying terribly; and I supposed the lambs were skittish, and would not be guided.

'What is the matter, my little man?' I asked.

'There's Heathcliff and a woman yonder, under t' nab,' he blubbered, 'un' I darnut pass 'em.'

I saw nothing; but neither the sheep nor he would go on so I bid him take the road lower down. He probably raised the phantoms from thinking, as he traversed the moors alone, on the nonsense he had heard his parents and companions repeat. Yet, still, I don't like being out in the dark now; and I don't like being left by myself in this grim house: I cannot help it; I shall be glad when they leave it, and shift to the Grange."

Wuthering Heights is a gothic novel. Yes, there are direct/indirect references to ghosts, yet it's not enough to consider the whole, multilayered novel as a simple ghost story or a spooky tale.

Spooky? I dunno ... ;) (Though all gothic literature is certainly THAT.)