The NHL is already to only league that fundamentally changes the rules when a game goes into OT. Players are taken off the ice, as a rule. That would be like taking out the left fielder or 2nd baseman when a baseball game goes extra innings, just to open things up.
Everything after regulation is a gimmick now. That's why both teams get a point after 60 minutes. It's not a loser point, it's a gimmick point. The problem with hockey is that you get 1 goal per shot, and 90+% of shots don't go in. Unlike the NBA or NFL, where there are multiple ways to score different amounts of points, and baseball, where you can get 4 runs on a single hit.