In a recent (dutch) blog post I argued that the latest change in plans for a nationwide eID system in the Netherlands spelled trouble. Instead of the proposed solution I argued that a system using attribute based credentials (ABCs) would be preferable in terms of both security and privacy. One of the solution providers involved in the eID system responded, arguing that using ABCs would in fact be less privacy friendly than the proposed eID system. His argument was that the Dutch eID system would (also) be used to control access to highly sensitive data, like health records, fiscal records, etc. In such systems it is desirable to log all access attempts, to be able to determine after the fact who accessed which records, and whether that was allowed under the circumstances. The untraceability of transactions guaranteed by using ABCs would, according to the author, make this technology therefore unsuitable for such applications. I will show that this argument is false, and that ABCs are perfectly capable of allowing certain transactions to be traced. Unlike the proposed solutions for the Dutch eDI system however, this tracing is only application specific, with the consent and/or explicit knowledge of the user, and not system wide and uncontrolled.