Technically, yeah, you have to count them too. I think the recent frequency of it really throws off the perception in many people's minds.
I think the new format may play into that, you do not have to have near the depth to make a run. That's why I wish they would change the Omaha format, to match a typical regional and super regional bracket, over the course of two weekends. Let each side of the bracket play out over the course of 4 days, Friday - Monday, so teams have to extend to their 4th and 5th pitchers. That would get rid of some of the freaky stuff, IMO. 4 games on Friday, 4 on Saturday, 4 on Sunday, 2 on Monday if necessary. People can then go home, and then come back to Omaha for a best of 3 series that next weekend.
I know they like having it during the week to maximize TV, though, and keep people in Omaha for a week and a half.