The branding process by Nike is incredibly demanding.
For example, Nike made Tennessee get rid of the "Lady Vols" nickname for everything but Basketball. This caused a stir in Tennessee, and it was found out that Nike gets rid of the school's logo's and replaces them with one singular logo.
They do a lot during this process. But basically, they market the hell out of it.
It'd be worth reading this article that shows some case studies of what they did to previous school's logos (including Oregon State's).
http://deadspin.com/nike-to-tennessee-dont-talk-about-what-were-doing-1704544586
What I know is that we brand our sports with a singular "N" and that's the "Iron N"
But we also have "N"s specific to football. For example, the "football N" is the one on our helmets:
We also have a separate "N" for Baseball:
Honestly, the "football N" is awesome, but I love that it is "football specific".
Something tells me that we would most likely still be able to have all these separate logos. I have seen the "OS" hat from Oregon State on their baseball hats recently, for example. But we never see Sparky from ASU (which I hate because I hold grudges that are from 1996). I wouldn't be surprised to see Sparky back since ASU is with Adidas now.
Overall, I don't know how I feel about being pushed around by Nike. Which, unless I'm mistaken, sounds like what happened at Tennessee and some of these other schools.