Yeah, that's my point. Anonymity to me implies that you can not determine my true identity. That property still holds here. What doesn't hold is that you can not determine that I am the same person in multiple locations - a very significant issue, but a much less serious one.
One feeds into the other strongly, though. The odds of an adversary de-anonymizing you go up the more activity the adversary can see. Also, we should look at your anonymity on a per-site/session basis, and if de-anonymization on one site breaks your anonymity on other sites, that is bad.