All of us have been on both sides of this issue -- and trust me, I would have loved video goal review in the '99 SCF. This obsession with getting it "right" is just weird to me.
First, I don't know when you started watching hockey, but the game was great for almost 100 years before offside review. Nobody cared if the linesmen occasionally missed a close call. It's like icing --unless the ref blows the whistle, the players knew to keep playing, and these micro transgressions that can only be seen on slo mo video had nothing to do with the purpose of the offside rule or the flow of the game. Literally, nobody cared.
Second, the idea that we have to get everything "right" in hockey is a joke. Almost all the important ref decisions are judgment calls, and the number of missed penalties in games is 1000x more significant than somebody's skate being an inch over the blue line.
Third, the review process and calling back goals is terrible for fans. It takes the joy out of goals.
By the way, I was listening to Tuch's post-game interview this morning, and he said that lots of players had already taken off their jerseys and pads before they found out that the goal was waved off. In fact, he thinks that some of the Oilers had already taken off their skates. The players hadn't even finished returning to the bench when they re-started overtime. Some of the fans were already out of the arena. Just get rid of the review. Who cares if the linesmen miss a few offside calls. It has literally no effect on the game as long as guys aren't cherry picking. At best, save review for the playoffs.