From one angle this is true, but look at the price at the moment if we are looking at the long term stable price then simple and clean answer is NO, bitcoin will never be stable in this long run as gold. But for short term we saw after every major change or movement in market that after that we see price stable in period between changes.
So we could say that in some point bitcoin is stable.
Indeed, bitcoins are not stable in the long run and I don’t think so anyone wants it to become stable just like fiat or gold. Gold is losing customers because of its iron strong stability. People want quick results and for that, bitcoins are the best options. The stability of bitcoins is not a good idea at all.
This is not good for bitcoin to have fixed value. Then in this situation price will go down and value of bitcoin will to very small and this is not good for this currency or any other crypto to be fixed price. Then it not point in investing at all.
Bitcoin was designed to have fluctuating prices just to attract more adopters. So, bitcoin is already doing perfect with the reason why it is having fluctuating prices. I'm not seeing any possibility of stable prices in near future as we cannot be sure when bitcoin adoption will get saturated.