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It's close to being anonymous though. If I give you a random bitcoin address, what are the odds you can identify the owner of it? It's very close to zero.

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In practice? The odds are pretty likely. Most people have poor opsec, and you can uniquely identify anyone with fewer than 33 bits of data.

And yet Satoshi Nakamoto still has not been doxxed.

I said "likely", not "certainly." Satoshi Nakamoto is the exception that proves the rule; part of his infamy is precisely due to the fact that he has not yet identified, which is extraordinary.

Let's test your claim. Here's a transaction between many addresses. How many can you identify?

https://blockchain.info/tx/5e3f8e728e7a9c14231806de537ae6177...

Let's make it easier: how many of the transactions in the most recent block (as of writing) can be tied to individuals?

https://blockchain.info/block/0000000000000000005d8e91c8b1b3...

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