on does not hold any water.
Here's just one example off the top of my head. GEICO has been around for about 85 years. When people think of GEICO what do they think of? A talking gecko.
When people think of BYU - if they think of BYU all - they think mormons, polygamy, and racism. It's not fair but it's true.
I'd rather be known for a beautiful blue football field.