I can't offer much on this, but I would like to post my thoughts on this and see what people think.
Let's say I'm long the stock (AAPL), I will sometimes open short position in ETF(QQQ). The idea is that while it's not well correlated in normal conditions, it will become very correlated in case of sharp sell off. So I get the benefit when it really matters. I am not worried about small moves against me, but rather a sharp sudden move. Does this make any sense? Not very scientific, I know.
This makes a lot of sense.