do it.
I've had two extended family members as pretty big recruits, one chose BYU and the other didn't. (He started at Washington and is now at Alabama.)
If you think BYU assistant coaches haven't given them some things about other schools to think over before choosing that said school over byu, you would be incorrect. And not just about smaller factual issues like facilities or the size of the coaching staff. You could call that negative recruiting but I think it's just smart. That's what I would do if I was recruiter. I feel like you have a moral obligation actually to tell recruits the things about the other schools that they aren't going to tell themselves.
My relative that chose BYU, almost chose Utah, but BYU kept saying to him that he wouldn't get the same experience at Utah no matter how much their coaches insisted on their having a great Institute program, etc. They pointed out other flaws with Utah's program, the school academics, future networking, campus social life compared to BYU's, etc. So by some of your reasoning, my relative should have dismissed BYU for negative recruiting.
If you're selling a car, you're not going to just tell a potential customer that your car is fast, you're going to also tell them that the competition's car that they are thinking about buying is slower than yours and more expensive (if that's the case). Because the competition isn't going to tell the potential customer that themselves. Compete and be classy.