In my opinion, bitcoin can not function to stabilize an economy, it can only increase its GDP by allowing investors to make more money. However, because of its instability, the stabilization function of the economy seems to belong to stable currencies other than bitcoin.
A good point there! We have seen the likes of Japan's GDP increase over time, based on the possibility of legalizing and regulating cryptocurrency. Bitcoin itself is not just some miracle performer that will start helping to fix things, it is just a tool.
Tool for payment which could help bring freedom in some certain ways and make it easy the way we do transactions, save time in most cases as well, when compared to having to use the banks, with their crazy shitty policies. A country's economy will have a lot to do with the leadership and for a corrupt setting, there is just so little bitcoin can do at all.