IIRC, I may have seen a nationally broadcast Cal basketball game around this time (I think I may have also seen a nationally broadcast football game in which California participated around this time). However, I was a kid in SoCal and I had no idea who California was.
I do know that as a NBA fan, I loved how Jason Kidd played. (I also was a fan of Kevin Johnson, who I only knew of as the Phoenix Suns's point guard and not as Cal's former point guard.)
Through a strange twist of fate I find myself a fan of Cal basketball and football (and pretty much all things Cal), now. I very much hope to see Cal become a nationally prominent and dominant team in football and basketball, again.