Bitcoin is unlikely to stabilize the economy. You look at its volatility. This is a disaster for the economy. Stable coins are more suitable for improvement.
Looking at what 52week market charts yes it does have volatility but it is one of the safe havens whales can find if the other asset market are going down in value. This idea is again a bit speculative and longshot but it goes by popular demand though I doubt how far it will be true. Talking about stablecoins though I dont find any trading value in them if there is volatility because majority of people are interested in making money off the asset and not just sleeping on it for years.
Again the centralized or decentralized nature of the stablecoin does come into question.