Bitcoin's price will never be stabilized. There will always be things such as news posts, scandals, influencers which will affect Bitcoin's price. I'm pretty sure it would be absolutely impossible to stabilize Bitcoin's price.
Bitcoin is bigger chance for investor have much money to make price not dominance, exactly when future trading listed on many exchange give them how to make bitcoin price depend with they want, if try to open with short position they will sell all bitcoin assets and make them earn much profit from short position, after dump drastically they try open with long position and buy back bitcoin and earn profit with spot and future trading.
Such cycles will be repeated continuously, until bitcoin ownership is spread, and at this time I also think bitcoin will not be stable, even though mass adoption will be carried out by all countries, but indeed if it happens then fluctuations will still exist, but indeed the range will narrow