AFAIK, C-AD has no support for DOM Storage or IndexedDB (or other legacy APIs if they're still alive, like Application Cache), though. I think it doesn't support Flash LSOs, too. It's very inferior to the SDC, and cannot be considered a reliable solution for sites to forget you. Not its fault, just that there are no APIs for this.
Nor there's any protection against HSTS and HPKP pinning, ETags or other "supercookie"-grade stuff. I'm not sure even Contextual Identities are enough, given that e.g. HSTS leaks into incognito mode if the flag was already seen in non-incognito session. That's only a suspicion, though - I haven't checked it, and it's well possible containers are isolated.
Nor there's any protection against HSTS and HPKP pinning, ETags or other "supercookie"-grade stuff. I'm not sure even Contextual Identities are enough, given that e.g. HSTS leaks into incognito mode if the flag was already seen in non-incognito session. That's only a suspicion, though - I haven't checked it, and it's well possible containers are isolated.