As others have pointed out, residency programs, fellowship programs, faculty, research facilities, independent teaching hospitals, etc are all areas UoU has well established and contribute greatly to the overall medical education.
BYU will likely land some very high quality students. But if I were advising a student who had been accepted to both, I would recommend most go to the U as the aforementioned infrastructure will provide a better educational experience and greater future opportunities, at least initially. And I dislike the U as much as the next BYU fan.
It will take decades for BYU to build up infrastructure to rival the U's - but I'm not sure that's ever really going to happen as the purpose of BYU's medical school seems to be more aligned with furthering the church's humanitarian than creating an academic medical center to rival the U's.
Frankly, considering the headwinds in healthcare such as abortion and gender affirming care, to say nothing of the financial mess that is medicine or likely future ethical questions around gene therapies and other such treatments (not to start a debate on such issues), I'm a bit surprised the church is moving into healthcare at all. But that's why inspired men make these decisions and not people like me. Will be exciting to see what it grows in to.