Stable coins are also digital coins and I don't see them being banned if the rest of crypto won't be banned. Only thing is that strict regulations may be imposed on them.
It's possible to ban centralized stablecoins by penalizing the issuer. But it's not feasible to do so on decentralized stablecoins like DAI or bitUSD, because they're not issued by a single entity. The best thing governments can do is impose heavy-handed regulation on centralized stablecoins if they allow it to be used by people in the mainstream world. This would be much of a concern to the stablecoin issuer, than the end user. I think that with greater regulations on the stablecoin industry, the lesser scams or fraud will exist in the crypto space. It'll be disastrous for the crypto market if stablecoins cease to exist as most cryptocurrencies depend on them for liquidity. Some say that Tether (USDT) largely contributed towards Bitcoin's astronomical rise in price back in 2017. If it ends being "banned" by governments worldwide, the entire crypto market will experience a massive downfall in price like never before.
Nonetheless, it's not surprising to see central banks suggesting governments worldwide to act against stablecoins since they see crypto as a threat to the existent monetary system. These entities don't want people to use an alternative payment system that's outside of their scope. They'd want something that can be easily controlled and manipulated at will. Which is why, they'll do anything to try to stop the crypto revolution. Their efforts will be in vain, thanks to the decentralized and open source nature of the Blockchain space. Just my thoughts
