Do you think if BTC had a stable price which could only be altered by $0.01-0.10 it would still be as popular and as used?
Bitcoin has been made popular because of its volatile price, now if you would remove it and make bitcoin's value stable, there is a big possibility that some people will stop patronizing it and move out to another cryptocurrency for a higher profit. It can be a good thing too but that is what most of the investors here are longing for, they want it to gain higher profit.
I do not think so.
Finally, if this situation happens, only real investors want to have Bitcoin at that time.
Because the value of Bitcoin is not the main of reason to earn Bitcoin in the past.
Some people got rich from Bitcoin just because them earn Bitcoin when no one want it since its value still zero or very low!