I think your information is wrong. Oregon State last year and Nebraska 2014 and others.
Night Man is talking about the drought in
winning a game in the NCAA tourney, NOT the drought of just making the tourney and being one-and-done.
Of course, Rutgers now has the longest active appearance drought (1991) since Northwestern finally ended their never-in-their-history NCAA drought this year.
As you noted, Oregon State got an at-large last year to end their appearance drought (since 1990 and had obviously been one year longer than Rutgers), but they lost in the first round to VCU....their last win in NCAA tourney (1982) is actually the year before Rutgers' last win (1983). Btw, the two 1982 wins by Oregon State (prior to losing to Georgetown for a spot in Final 4) have since been vacated by the NCAA, so technically their last win was back in their 1975 appearance.
Like Oregon State in 2016, Nebraska's 2014 appearance was also one-and-done (lost to Baylor). Nebraska has never won an NCAA game in their history (now, no longer something they share infamously with Northwestern who was 1-1 this year), having lost in the first round of all their appearances (0-7).