Bitcoin will never become stable because its not tied to any material, accountable value beyond supply-demand and it doesn't have a central bank to support it and make swings less volatile... A god example would be a garden without a gardener, no matter how good it is underneath, someone has do to the necessary house keeping to keep it in shape.
The entire premise of Bitcoin and p2p decentralized cryptocurrency in the first place is no one has to do the "necessary house keeping". The analogy of a garden without a gardener is patronizing and completely asinine.
The world didn't have any "necessary house keeping" until the early 20th century anyway, and central banking was basically hoisted on countries as the panacea for bank runs. Instead of regulating or outlawing overleveraging, they created the moral hazard of a "lender of last resort", but in the long run we know that the "lender of last resort" function to central banking was just the used car salesman pitch, because the real function was monetary policy / debt manipulation all along.
Central banking is the entity that creates the price volatility in everything in the first place by constantly micro-managing money supply and thus indirectly tweaking interest rates. The price volatility is not inherent to Bitcoin quo Bitcoin, it's a side effect of the fact that the supply schedule of fiat is constantly increasing, and that means more and more fiat needs to find some place to produce a return to counteract inflation.