I grew up in the Princeton area and went to RU. Started watching Princeton in the early 60s when they had Bill Bradley, arguably one of the greatest college basketball players ever (not pro). He took them single handedly to the Final Four where he scored 58 points against Wichita State (with All America Dave Stallworth) in the consolation game. Team was coached by Butch Van Breda Kolff who left Princeton for the LA Lakers.
Princeton had great teams in the 60s and early 70s with great players like Geoff Petrie (NBA Rookie of the year), Brian Taylor (ABA Rookie of the year), Armond Hill, the Hummer brothers, Chris Thomforde, Gary Walters and others. I saw Princeton vs. RU Freshman game in 1970. Both teams had heralded freshman, Taylor at Princeton and Gene Armstead at RU. Like RU 72, I too was at the 76 Jadwin as a RU student. Great game as was the NCAA game we won later that year when Pete Malloy of Princeton missed a foul shot at the end.
Although RU's basketball brand has been improving with the B1G and Pike, I believe Princeton's brand is stronger nationally. I don't claim to understand NET and the other analytics well, but I would like to see us play them. Irrespective of the NET ranking, a win over them any year would be perceived very positively, and it seems that the NCAA committee does take perceptions into account when picking the field. I see more upside than downside in playing them.