While a grad student at Uof Louisville, we had a BYU-I student apply to our program. The program director wasn't familiar with BYU-I and came to talk to me about how the university compares to BYU.
I gave a positive recommendation and he got in. My point is that not everyone around the country knows the difference. When it comes to resumes, this is not accurate. The school is named BYU-Idaho.