What kind of stable market do you want? Cryptocurrency trading is very volatile it can never be stable unless trading is controlled by the authority to avoid market manipulation but since this market are free to control by anyone who has the power we will never be achieved its stability because right now it cant be controlled by any government organization.
I don't know, since Bitcoin first emerged, crypto prices have never been stable. in fact, even a very stable ETH is really unpredictable. well, but many people use this for their benefit. especially for traders.
The price is not stable and has been surprising us since the start of this year till now the price sometimes increase and sometimes decreases so this fluctuations in price is due to the demand of people in terms of buying and selling rate. It is a benefit too and good for the conditions to normalize it only if we buy Bitcoin right now will also cost us less and one should avoid selling for small profit.
There will always be a fluctuation in any market.
Depending on the definition of stability for some, even Forex market is not stable; otherwise no one will be trading Forex.
If we are to refer to the volatility, sure we can say the market is still very volatile since it is in its infancy stage and very speculative in nature, and we can only up that with a huge level of adoption and usage, we might be able to attain some equilibrium level which even at that, it would only result to less volatility than what we have now, but does not necessarily make it stable.