Yes, eventually, if he's that good, probably. I can't think of many elite players who never even had a shot, can you? This is just something people say to cheapen Toews. You're oddly dug in on this. No one is saying he's a one-man team and no one can honestly look at past Cup winners and pretend they're not stacked in some way.
As I mentioned and you've dodged from myself and plenty of other posters, there are a LOT of 'stacked teams' that don't go all the way every year, and associated 1Cs whose legacies take a beating because of it. See: Joe Thornton.
None of that changes what I said: Toews is a winner and the engine. Everything else is just noise to tarnish his accomplishments.