ESPN ...have historically put Nebraska in a positive light, probably moreso than the other college teams they cover.
I'm sure this is subjective. Not sure how one would go about proving or disproving this.
I'll say this - Nebraska Fan's belief that ESPN hates their team isn't unique. Nearly every other fan base I've spoken with feels that "ESPN hates us."
When bad things happen to a team, both on and off the field, ESPN reports them.
So there's that.
And every week they have guys who make predictions, ensuring that someone on ESPN thinks your team will lose.
So there's that.
Nebraska is well remembered for our past glories, landing two of the top three all time college football teams as voted by ESPN's college football panel. More recently, Nebraska had the College Football Play of the Year (Westerkamp's behind the back catch) at the 2014 ESPY's and the Best Moment in the Entire Sporting World at the 2013 ESPY'S (Jack Hoffman's spring run). Lee Corso and Chris Fowler were allowed to appear in Nebraska's legacy video, declaring Nebraska fans the best and most knowledgable in College football, and Lincoln the best gameday experience. ESPN started a Suh for Heisman bandwagon over the sainted Tim Tebow in 2009, but some folks may have forgotten that, too.