As far as I know, I believe that C2 is gaming-oriented and was not made to be for mobiles more than it was for classical devices. I have also reason to believe that Scirra plans to favor Intel's Crosswalk technology for Android (and possibly other platforms).
Now the question:
Is anybody willing to build a plugin to integrate push notification for mobiles? Even via the common third party channels (ie. Ludei Cocoonjs, Intel XDK etc.)?
I think this function would make the difference and create new business opportunities for apps, since C2 misses very few functionalities to become an app-creator as much as it is a game-creator.
If someone is interested in developing such a plugin, I am happy to help him at least by testing and promoting a fund-raising/kickstarter campaign so that their efforts are well repaid.