Earlier quoted context omitted.
It shouldn't. SSO doesn't typically work by sharing cookies, which have always been limited to a single domain in the first place.
I'm not sure about that. It depends on where the boundaries of the "cookie jar" are (through redirects and such). And I suspect it will effect it, in order to accomplish it's purpose. After all, what is tracking but a sort of "SSO" you don't know about. (OK, technically tracking is less powerful than SSO, since only the third-party needs to know your "single" identity, the first-party website doesn't actually know it…
Implementations may of course vary.