Look at the long term purchasing power of gold. Very stable because there is no (or a relatively low amount compared to fiat) of inflation. Now think of Bitcoin: NO inflation. 21M BTC is the most there ever will be.
You do realize that the gold market is
heavily manipulated, right? Golds price has nothing to due with any intrinsic value as a store of value/currency, its value as an industrial metal, or its limited supply. Nor can BTC be compared to it in any sensible way. They are planets away from each other in about every sense possible.
That aside, lack of inflation and a limited supply in no way adds up to stable price. BTC
could stabilize, it could continue boom and bust cycles, it could skyrocket to infinity, drop down to nothing, or anything between....and NOBODY knows which of these the future holds...and anyone who says different is full of shit.