bitcoins don't provide anonymity.

Bitcoin provides anonymity in the way that it doesn't anchor its addresses with your real life identity.

Yes, the addresses are public, but there isn't a way to prove who's who according to addresses alone.

Unless of course you publicly attach your identity to one.

It's pretty easy to track coins through transactions and link them to an IP, unless the user knows about this and takes care to prevent it.

An IP address is light-years from a real-life identity. Without a warrant, there's not a chance of figuring out even the account holders name-- which could be different from the person who actually performed the transaction. It could be a neighbor, a friend, a roommate, anyone else who ever had the wifi password, the possibilities are endless.

If anonymity is a concern getting a court order doesn't sound like a big deal. Even if not, you vastly overestimate the anonymity an IP provides, and if anonymity is a concern legal deniability isn't a big win either. You also ignore that you could potentially get dozens or hundreds of IP addresses. Anonymity, like security, is hard, and has layers.

Anonymity is not a binary variable which is why I worded it "degree of anonymity". I think it should be obvious that credit cards and bank accounts are vastly less anonymous than Bitcoin.