i think different people have different mentality about that, according the investor who invest their money in bitcoin for price increase that if the price of become stable then people will lose their interest interest to invest money here. while according to trader, that people will only convert their assets in to bitcoin if the bitcoin price will become stable, because they do not want to put their money in risk if their is a lot of fluctuation in the price of bitcoin. i think. the trader can only use the facilities of bitcoin if its price is stable.
I don't think so that traders want bitcoin to have a stable price because they can make profit in trading just by making prediction of prices. For me, popularity will be lessen once BTC begins to have a stable price, investors will start to leave.
But if the price of bitcoin come to stability then the traders will still earn a good profit because as the total amount of bitcoin is limited and when the adopters and uses of bitcoin will increase then the price of bitcoin will also increase at that time we will see only increase in the price.