If the call on the ice had been no goal, it would have stayed no goal. The replay footage proved nothing, for or against. Was a call by the ref on the ice and they had to stick to it, given the footage that they had.
The result is correct, goal for NSH. That said, it looks SUPER borderline and you can make the case the ref in the moment should have called no goal.
I am a proponent for the whole 'call on the ice' thing. Keep the refs as part of the game, I don't want robots and cameras calling the game.