If you have no faith in institutions coupled with no exposure to leftist theory, then you could be convinced of both. Bitcoin doesn't have any central server nor anyone at the helm. Your seed/password is coordinates on a graph and nothing more. If you feel like the institutions are to blame and they want to control you with an iron grip, the separation of money and state becomes really attractive to you.

When you see places where your currency doesn't take you far and is liable to go up a billion percent in inflation, you'll see people trading specks of gold for groceries. People have been using gold for a whole lot longer than they have central banking. If you're a gold bug, you're rubbing shoulders with people who see Bitcoin (as distinct from other cryptocurrencies) as a superior asset due to its transportability. For example, if you needed to smuggle it across a border, you wouldn't even need the physical metal tube, you'd memorize the words and regenerate your wallet once you're inside. Price action is secondary to this sort of ideal. Arguing about Bitcoin on the basis of wildly fluctuating price is futile because they don't see the price of something in fiat as a very useful gauge for its value. Even the uptime of the Internet after shit hits the fan (SHTF) is to be a practiced and conditioned argument.

In essence, if your game plan is self sufficiency with guns and gold, you can be convinced to get Bitcoin instead of/in addition to gold.