This is presently true, but only because Bitcoin is still a new, obscure, and therefore unregulated system. As it gets more widely adopted, there will be more attempts to regulate and monitor transactions. Much like a business today is typically required to collect and report information about certain fiat transactions, in the future same AML requirements may apply to businesses within the "bitcoin system".
This will absolutely never happen. The system allowing such bs would be by definition a fork of Bitcoin, and a pretty irrelevant/hopeless one at that.