I think it's unlikely that will happen. There's no real reason for it to do so. So it just becomes a case of will BTC crash to 1/3 its current value or gold pump 3x its value. We can dismiss the latter happening with quite a strong degree of certainty, at least in the shorter term. BTC is unlikely to crash so far because of the cost to mine and the strong support levels around $3000.
Correct, there are limits to how much the price can crash, even if the bears keep trying to push the price to lower values the bulls are going to resist since a price below 3000 dollars will be simply too low for them not to take action and buy all the coins they can out of the market, so the possibility of seeing the price of bitcoin being equal to 1 oz of gold are minimal at best.