If bitcoin had a stable price at start then there were no chances to be as popular as it is now because it got popular because of investors and miners who work for profit.
It depends. If the price is not steady and going down most of the time, it hurts the miners for sure, they will have a lower value for their bitcoin and they will have lower profit. But it is different when it comes to investors, they love it when the price is moving like it is almost dropping to the bottom and immediately goes up.
I do think that when the price of bitcoin is stable, there will be lesser investors but we will be filled with users that are really after its use and not of its value.
If the price is stable then it won't immediately goes up, Stable means the price neither goes up nor down .
which can make a huge impact on bitcoins investors and miners but there are many reasons why people go for bitcoin aside from its price fluctuation . For example is the fact that bitcoin might be our new form of currency, The anomity and the users full control on his money . So I think it will be popular also if the price is stable but it can take longer than now .