I do believe you have a good point there.
When ties were possible, they were seen as either positive or negative depending on how they were being referenced in a team's performance in the NHL. Winning streaks and losing streaks didn't get as much attention because they often weren't very long. A team that was doing well was often described in terms of their "unbeaten streak" (ties included with the wins), while a team that was doing poorly was measured by a "winless streak" (ties included with the losses).
I still think the NHL has some work to do when it comes to overtime games. Even if they don't want to have ties (and I agree with that, for the most part), I'm convinced that the shootout is a bad idea.