IMO, they need to put stipulations on reviews one way or the other, either by only allowing refs to review in game speed or close to real time as opposed to the super slo-mo "let's see if there's a millimeter of white space between the puck and a guy's skate," or by stipulating that you can only challenge if a goal is scored within 10-15 seconds of zone entry, so more or less directly off the rush. Or have someone in Toronto reviewing as a sky judge type situation, with similar restrictions, to avoid the potential egregious Duchene goal.
Furthermore, we all watched who knows how many "offside" goals get scored years before this review was implemented and it wasn't an issue. Plus, this is a league that prides itself on refs throwing the rulebook out the window in tons of instances (a team has a 2 or 3 goal lead and they want to game manage, it's OT, it's the playoffs, etc.) and flat-out refusing to call blatant penalties because they "don't want to affect the outcome of the game." And there's no method for challenging if your player clearly got high-sticked in the face by an opponent and the ref didn't call it. The emphasis on "getting it right" rarely extends to refereeing in any consistent way.
All in all, it's stupid, but fully on-brand, that this microscopic hill is something the NHL would want to die on. Imagine you're a casual fan and you watch your team score a tying or winning goal deep in the playoffs, late in the 3rd or OT. It's awesome! You're swept up in the excitement! Oh, wait, it's getting reversed by someone being a centimeter offsides like 50 seconds earlier on a shoot-in.