Narendra Modi performed pooja at Kashi Vishwanath temple but the single overhead camera kept him out of the frame. It occasionally showed the top of his head, mostly a part of his hand. They resorted to arrows, here's his hand, here's Modi! Looks like the feed was from the live video streaming on the temple's website. So the question of allowing/not allowing cameras in on a private moment does not really arise, though entire TV discussions were mounted on it.