Actually, it's the opposite as far as censorship resistance goes. Because all transactions are public, any bitcoin can be traced and
tainted. Taints can be enforced easily because the process of detecting tainted coins can be cheaply automated by all involved. Mixers are of little consequence, just like money laundering schemes aren't a magical loophole around laws regulating transactions and tracking asset ownership.
Paper fiat is much better in this regard as bills are much more difficult to trace and taint. The infrastructure isn't in place to comprehensively enforce serial tracking. More importantly, there are usually laws that guarantee the fungibility of bills, which means it's usually very difficult as a legal matter to force a current, honest holder of a circulating bill to relinquish it. Such laws exist precisely because of the difficulty of cheaply tracking the provenance of bills.
A large country like the U.S. could easily mandate verification by its citizens and businesses of all bitcoin transactions against a central registry. Then in a blink of an eye it could begin flagging bitcoins the way car VINs can be flagged.
Sure, you can send it to people not subject to the mandate or otherwise willing to risk accepting it, but the value of that bitcoin is now diminished as compared to the rest of them because the market will be smaller. Transparency means they're not perfectly fungible, yet perfect fungibility is what you need for censorship resistance. To avoid the cost of receiving coins from illegal activity there'll be various escrow and insurance schemes which will make bitcoin transactions even less efficient than they currently are.
The flip-side, however, is that for law abiding people without privacy concerns, bitcoin might prove an excellent asset store. Nobody could steal it from you, at least not without fooling the legal system and/or central authorities, which [ideally] would require alot of non-anonymous, conspicuous activity. Which is why NFTs are enticing. Relatedly, NFTs make no sense without a centralized, easily queryable database linking legal ownership of an asset to the NFT. But, ironically, it would be the central database, not the NFT itself, that truly establishes ownership. Similar to how land title registries, not occupation of a piece of real estate or chain of title, establish rightful ownership in jurisdictions with such registries.