While there is a difference in how efficiently a government can commit acts of tyranny against users of CBDCs vs stablecoins, and I think this distinction is noteworthy under some circumstances, it's also important to make a judgement about how this affects the hard value of the asset.
I think if you're saying the soundness of a stablecoin's value is the same as that of a CBDC, you'd be absolutely correct. In both cases, 100% of the asset's value is ultimately in the hands of the state. Thus, both are only as valuable as the government in question is trustworthy. Compared to a permissionless system, this value will always be approximately zero.