Not only that, also that many of them are centralized, to the extent some can even be freezed on noncustododial wallet.
Almost all of the popular ones that are being used are centralized except MakerDAO's DAI. DAI is a decentralized Ethereum-based token. You have probably seen mk4's thread on this subject:
Most Stablecoins Can Be Frozen, Even in Your Own Wallets.

As you can see, DAI is the only one on the list that can't be frozen due to its decentralized nature.