Not quite. Stablecoins are still more decentralized than classic fiat and AFAIU it's easier to trade stablecoins to/from other coins/tokens.
Practical example, credit/debt card processors almost universally have banned/are banning many adult content sites, but those sites are starting to accept stablecoins.
While stablecoins can be tracked, transactions cannot be universally controlled, especially not by private entities (depends on the exact stablecoin of course).