BTC's unpredictable price is also a positive attribute that Bitcoiners like. you can make money out of this inflation. but BTC may not become stable due to the cycles, when the cycles probably are over like all 21M coins are already mined, i think there will be a stability of price.
your opinion also makes sense, but are you sure that the mining of bitcoin has been completed up to 21000000, then the price of btc will be stable?
in my opinion btc will be difficult to stabilize because btc sellers and buyers will be difficult to predict.
but in my opinion if in the future many people use btc for
buying and selling costs and so on. so there is no need to wait for the btc price to stabilize first, but people who are buying and selling must be prepared for risks and understand risks.