Nope.
While it's true that gold always goes down, plunges in fact, when the bottom is dropping out of the stock market and people are selling everything, even gold and gold stocks, in order to get money to cover losses.
People start realizing that gold IS a safe haven, and start buying it.
So, gold falls at first - which has never been denied - but then it starts to recover, and then goes on to new highs.
This is not just a right wing truth, it is the truth. History shows it to be true.