Very doubtful. It was already quite popular (each installment sold over 1 million copies), and it's not the kind of game that's going to cross over to the Halo/COD fanbase, if that's what you're implying. I'm not sure what you mean by a decent push either. It was marketed pretty well from what I recall, and they put a really hard push into Other M, though that one didn't pan out very well.
The problem isn't that Nintendo doesn't do these things. They do. Bayonetta 2, Eternal Darkness, Geist, Xenoblade Chronicles are/were all Nintendo funded titles/IPs that fit what you describe. I'm sure there's others, too. They just don't put the kind of effort they ultimately should into it. But then again, all the above mentioned games (with the exclusion of B2, since it's not out yet) were either bombs or underperformed. It's a bit of a cop out to put it all on Nintendo's outdated practices, when every time they do what you suggest, it burns them to a varying degree.