As a graduate of USL, I would have preferred keeping that name. I will respect the universities decision and call the school the University of Louisiana at Lafayette at this point. We should all respect both universities in that respect (albeit, the LSU moniker has been in place considerably longer that UL Lafayette). From an football point of view, LSU is my first love and that was cemented in my first year of college (that was at LSU and my first semester was in the West Stadium Drom, when they were still dorms, a testament to my procrastination at filling out my housing application). For basketball and baseball I fall about 50/50 usually pulling for the for a team based on the particulars of that season. I pull for the Cajuns when it comes to softball, I've been doing that since before LSU had a softball team.
I wish certain folks in both fan bases would dial it back a bit. To quote Rodney King "Can't we all just get along."