Nope if it had a stable price then you can't use it as an investment for example if all the stocks had a stable price then why would people simply invest. Bitcoin is an investment platform so have a stable investment won't attract anyone. And i don't think in the next 10 years the price will come down to 0.1$ or 1$. If it was stable then it would be perfect as an currency but the current status of bitcoin it isn't stable at all.
Bitcoin becoming just a currency would lose most of its users. People are in here mostly because they know that eventually the price of bitcoin will be high and they will be making money when that happens. When bitcoin gets a stable price, then what's the point of bitcoins? People wouldn't be buying bitcoins anymore since there's Paypal and other digital payments available online. Which are all even better than bitcoins, by the way, because a lot of online shops are accepting Paypal.
People wouldn't buy bitcoins when it's just a simple currency unless something is forcing them.