I don't think so, because there are many factors that can affect the price, so the price becomes volatile and unpredictable. like a year ago it fell at an unexpected rate after the price reached 20k
Bitcoin will never become a stable coin. Based on supply and demand law bitcoin price should be tend to rise. The limitation on bitcoin maximum amount and the growung number of people who want to obtain bitcoin will make its price increase. Bitcoin is not spread evenly yet, I mean there some people who have a lot of bitcoin they can make its price move extreemely.
You are right. Bitcoin is a crypto currency how it can be stabble where fiat's price ups and downs against another fiat currency. For example if you can see today 120$ = 100 euro than so it will be higher or lower.