Stablecoins can be stable or not stable if they depeg.
Stablecoins can be frozen in your non custodial wallets.
They are two biggest risks people must think about stablecoins.
There would be another high level risk which is about government seizing the entire stablecoin company itself like how USA seized few m*xing services. When government start feeling about stablecoin as a threat to their fiats, they may decide anything like that. So, stabecoins are always in peril of getting banned at any time soon.
@OP, from the beginning itself, tether corporate explained that they are issuing stable coin for every country's fiat, for example for Australian dollars, it would be AUDT. For some reason, such tether versions are not famous to us.
Literally government is the one that provides regulation framework to work with for stablecoin and even pushing for the adoption.
The government can't just seize the stablecoin's reserve without any reason and most of stablecoin issuer are company that are listed in NYSE such as CRCL (Circle Internet Group Inc) and Paxos.
They are textbook legal company and the reason people called them out stablecoin to be a centralized extension of traditional finance is because they are obeying every single regulatory and compliance.
One of the main reason why stablecoin is gonna get supported instead of getting banned is because they absorb US short term bond by massive amount.