Yes it will probably be like gold in digital form but I'm not sure it will happen because bitcoin is decentral and bitcoin holders will not get much profit, I like the fluctuating bitcoin
The fluctuation is good for traders who sell and purchase the bitcoin looking at the prices. But for those the rise and down is a bit discouraging who want to save it for a long term. Like people having future plans of 2020. They will want the persistent increase in the prices. These are the people who are valuing the bitcoin as the digital gold.
Aside from that, highly volatile currency is not merchant and users friendly. This will hinder the adoption of bitcoin and making it hard for users to know how much he have to pay for some item due to bitcoin price fluctuation. When the price become stable, the price of an item today in bitcoin can be the same after a few days, meaning merhcants and users can take advantage of this. Though traders might probably get out of the scene.