I believe that this market has never been characterized by great stability, because unlike institutional markets, the crypto market has been much more susceptible to experiencing large inflows or outflows of capital according to the rumors or the emotional aspect of the investors.
And personally I do not think this will change much in the medium term, because the decentralized aspect of the market prevents it from being intervened by regulatory authorities that prevent the speculative manipulation of prices.
I think that government support will be very influential in increasing the stability of cryptocurrency prices. Until now, cryptocurrency prices will never be stable because there is still not enough support. One that has the biggest impact is the support and actions taken by the government. The government has a very big role because when the government provides support, everything will be much better, the ultimate goal is that cryptocurrency will have a very good level of stability.
Government support will bring in more people and it will increase the price value, and people will be transacting, trading thus, making it kind of more volatile. I don't think it will be stable ever, the supply being limited will make it go up and down as per the demand and supply. But cryptocurrency introduced in terms of fiat will be stable, like USDT etc.