There is no such thing specifically as an associate membership in the EU.
But what Carney described, "What we are looking and will begin discussion for, is a unique alliance with the European Union, between Canada and the European Union.” sounds an awful lot like what Norway or Iceland has. You could call that associated members.
I also find the language interesting. "We’re not looking to become a member of the European Union."
That could be 100% true, while the WSJ article is also true. Those are not mutually exclusive. There is not associated membership today. Membership in the EU today is only as a full member. He's a man who intentionally picks his words. I wouldn't discount the WSJ article yet.