Yeah, so nobody knows they are yours, until you show a link between them and your real world identity(like they are in your safe or some bank vaults rented by you). Such anonymity is pretty useless in many situations.
Bitcoin, OTOH, provides reasonable pseudononymity/anonymity along with nearly indisputable ownership proof all at the same time.
I would not feel confident to evaluate the level of anonymity of Bitcoin until a lot more is known about both the system, and especially about the methods and capabilities of the attackers.
OTOH, the level of 'plausible deniability' of Bitcoin is outstanding because there have been so many losses, accidents, thefts, frauds, etc. It would be completely believable to claim a loss of control of BTC through a lot of means.
In jurisdictions which do not rely on secret courts and summery justice, this 'plausible deniability' aspect of the system could likely be leveraged very effectively.
