That is what I did initially. My API was sending garbage data Saying this website is shutting down, please visit [mysite] for more info :D.
But later on, they figured, I was sending garbage data and people were visiting my site because of that. I even put in a tracked link to see how many visitors I'd get from there site and I was getting around 500 people every day.
It was like a cat and mice game for a few weeks.