In reality, all bitcoin transactions are public, traceable, and permanently stored on the bitcoin network. Everyone can see your wallet balance, but only a few know who owns it, as it all depends on how you protect your privacy. While fiat transactions typically involve revealing your identity, some decentralized platforms allow you to purchase anonymously.

You can still increase your privacy even if your first transaction isn't anonymous. I mean, there are other methods you can use, like mixers and other like that. The owner's identity might no longer be easily traceable this way, but since mixers are banned on this forum, all of them will likely need to find them elsewhere.