The thing that could happen is that it will maybe get stable for a while but I do not think this is gonna happen honestly.
If the price rises a lot of people will sell it again and others will buy without any doubts.
As quoted price won't get stable. The price of bitcoin starts to decrease gradually, if none spends it. The major reason is that the circulation of bitcoin decreases which needs to be in a increased range or in a stable manner. But such scenarios of continuous decrease due to such situations won't happen.