@DoubleDD
I am confused. You talk about putting it into perspective but you don't quite do it.
Currently, UCLA is relevant only as a memory to older people that remember the details of the memorable years of Wooden and the unbeaten streak, but the younger generation is only vaguely aware of the streak since it is often mention when teams have long unbeaten runs, in the same way that Indiana is mentioned as being the last team to go unbeaten in college basketball or the Dolphins in football; most don't have a clue about the details.
We live in a time when the current younger generation only cares about what have you done for me lately and their concept of history extend only a few years back and most cannot name the last 3 presidents. To this generation KU is not as relevant as Duke and the East Coast hype or UK and all the celebrities and rap stars associated with the program.
To the college basketball die hard fans, such as many member of this forum, which are in the minority, KU is the standard of continued excellence for the last 30 years. Keep in mind that to most, the Ted Owens years were very forgettable and the KU revival consists mostly of Coaches Williams and Self and most don't even remember Coach Brown and his short stint at KU.
All the big and small time analysts have mentioned KU's current conference title streak in the past year, and without exception, they all consider it a huge achievement. If KU sets a new record in conference titles, it will remembered in the same way the as the UCLA streaks are remembered.
As I mentioned before, if this would be KU's 4th or 5th title I can see preferring a NC, but at this point when KU is moving into hallowed territory and if it breaks the record, it will be remembered a lot longer and by a lot more people than one single NC title would.
Of course, this is just my opinion and as such, biased by my age and awareness and knowledge of the history of the sport.