Cs, you’re not addressing why cunin would want the whole world to know about this esoteric chasidishe concept, when they are still unaware of the existence of and the dominion of Hashem in the world.
As a shlucha, do you want the world to be full of tue knowledge of Hashem and His kingdom over everything, or do you want the world to know the name of a particular chassidishe rebbe who lived in the 20th century and who is long deceased, even if he davens for people who go to his kever etc…? Maybe you want both, but why did cunin say that when there will be nissim, the whole world will know that the Lubavitcher rebbe runs the world? Wouldn’t nissim show the world that Hashem runs the world?
So either he uses the two interchangeably, or he is more concerned with people knowing about his rebbe than Hashem. There’s really no good way of understanding cunins words without him being guilty of some sort of egregious hashkafa…maybe you’ll say he just misspoke; but why didn’t anyone around him care when he said that?
And who misspeaks about something as enormous as Hashem running the world?
Perhaps overexposure to chasidus and kabalah can have a deleterious affect on people…. that’s about the best case scenario i can think of in defending cunin, if I would be inclined to do so.