I don't think there is will be stability even with the mass adoption, because the more you sell, the more others buys and the more people fud or government news spread, the more the market dumps, seriously a lot of things affects the crypto market and that is just the nature. For a long time now, it has been believed that crypto is highly volatile and it hasn't changed from that.
Remember as times goes on, as each day passes more coins enter the market, some exit scam and some only keeps dumping and so on, all these also affects the crypto market, hackers are also on the other side doing theirs, thus contributing to an unstable market. My own opinion is, get into good coins which can survive in the midst of all these, and at the end you will be glad you did.