If you are restricting your vision to Utah recruits, then maybe. Fact is the largest pool of top tier athletes comes from outside Utah.

However, a strong BYU makes 2 attractive programs in the state of Utah, which overall will bring in enough national recruits to feed both schools.

If they want the Honor Code, a 64,000 seat stadium and the B12 they will choose BYU. If they want no honor code and the P12 they will choose Utah.