::I appreciate your thorough response. I will respond below in number format based on your paragraphs: 
 ::1) I agree that "NYU Violets" is more common in search engines, but I don't agree that it is almost exclusively known as NYU Violets. If you replicate the search using a more relevant metric, Google News, you will see that it results in 93 hits for the full name and 136 hits for the abbreviation. While it is certainly more commonly referred to as NYU Violets, it's hardly to the point that it's exclusively known as NYU violets. 

 ::2) I am not here to necessarily argue that in the case of BYU it was the wrong decision, but I do want to point out that other crap exists. I don't think that's a strong enough argument on its own to say that NYU should also be abbreviated. 

 ::3) You definitely pointed out many more articles than I thought existed with abbreviations, but again there are a lot of articles that need to be corrected. Again, I'm not arguing for all articles at this point, but just NYU Violets. 

 ::4) I have authored parts of WP:UNIGUIDE, yes, but this is not a conflict of interest because my authorship was not the sole authorship and it was based on consensus after 7 months of discussion and feedback from multiple users. You also miss the point that I cite general Wikipedia naming conventions, which also suggest that acronyms should be avoided unless it is almost exclusively known only by the name including the acronym and it is widely used as such. Additionally, the WikiProject College football Naming Conventions echo WikiProject Universities and state that "School names should be the short preferred version, and not acronyms". It goes so far as to specifically say that some articles you mentioned above should be renamed.  

 ::Additionally, your last paragraph borders on a personal attack. Obviously you were not trying to attack me, but there was no reason to look into the edit history of the WP:UNI guidelines and my user page to make your argument. This has nothing to do with me but with the guidelines that Wikipedia has set. Because I helped write WP:UNIGUIDE based directly on WP:NAMING has nothing to do with the fact that it is a current guideline. Also, my user page uses "NYU Violets" because when I split the page from the main NYU page that is what I named it. This was before WP:UNIGUIDE existed, which shows the fact that there is no conflict of interest.—