As the Bitcoin consensus increases, more people will buy Bitcoin and the usage rate of Bitcoin will continue to increase, and the market will stabilize accordingly.
The number of bitcoins is fixed and limited. When demand for it increases, its value will continue to rise, and volatility may also decrease.
I do not think that the price volatility of cryptocurrencies, including bitcoin, will ever be significantly reduced. On the contrary, the higher the price of bitcoin rises, the greater should be its volatility. But, in principle, all this is just an assumption. No one knows for sure what will happen to prices in the cryptocurrency market in the future. But due to the fact that there is no regulation in this market, I do not see any serious reasons for price stabilization. And the majority of participants in this market are probably not interested in such a stabilization.