Based on the number of times teams appear in the polls, for the most part, it seems. But, yeah, to be ranked so high and have no notable milestones it seems more of an indicator pointing to UNM's ability to underperform (read: choke), for whatever reason.
NMSU, UTEP and UNM, for the most part, have been top tiered teams in their respective conferences and these rankings are indicative of the tradition at these Rio Grande schools.
That being said, there are no guarantees that every coaching change will bring success.
New Mexico State has been on a pretty good trajectory having had only one not-so-successful era since Lou Henson I, that being when Weldon Drew was coach. And while many did not like Marvin Menzies, his record speaks for itself and his tenure lauded.
But look at what's happening up and down river from Las Cruces. UTEP has had its ups and downs since Don Haskins retired and thought they hit the jackpot when they hired golden boy Tim Floyd. It hasn't worked out.
UNM went from Bob King to Norm Ellenberger (tremendous success/Lobogate scandal), Gary Colson (Mr. NIT; fired), Dave Bliss (success; the bad stuff came at Baylor); Fran Fraschilla (55-41 record; 3 NITs; poor coach; resigned); Ritchie McKay (82-69, soft; fired); Steve Alford (155-52; their best coach since Norm); and now Noodles, and we are very aware of the issues they're having.
I am not a UTEP fan but they have a national championship for cripes sake, numerous NBA players, a hall of fame coach, surely that would result in a much higher number despite their recent history, I wouldn't pay much attention to this.